{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d2273d27-dc55-47a3-bfc2-1c487ae1ccc7",
   "metadata": {},
   "source": [
    "Chapter 21\n",
    "# 特殊图的拉普拉斯矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "63e426d4-bb06-4fab-afc6-31852d6390e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5d99fb5-e698-4ce8-83be-4a5de447309f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize(G, pos, fig_title):\n",
    "    fig, axs = plt.subplots(nrows = 1, ncols = 2,\n",
    "                            figsize = (12,6))\n",
    "    \n",
    "    # 左子图\n",
    "    nx.draw_networkx(G, \n",
    "                     ax = axs[0],\n",
    "                     pos = pos,\n",
    "                     with_labels = False,\n",
    "                     node_size = 28) \n",
    "    axs[0].set_aspect('equal', adjustable='box')\n",
    "    axs[0].axis('off')\n",
    "    \n",
    "    # 归一化拉普拉斯矩阵矩阵\n",
    "    L_N = nx.normalized_laplacian_matrix(G).todense()\n",
    "    \n",
    "    # 右子图\n",
    "    sns.heatmap(L_N, cmap = 'Blues', \n",
    "                ax = axs[1],\n",
    "                annot = False,\n",
    "                xticklabels = [], \n",
    "                yticklabels = [],\n",
    "                linecolor = 'k', square = True,\n",
    "                linewidths = 0.2, cbar = False)\n",
    "    \n",
    "    plt.savefig(fig_title + '.svg')\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "357f2f13-4ee3-4252-9cff-2611fa4829c3",
   "metadata": {},
   "source": [
    "## 完全图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "78c983fc-1109-41fd-9af2-393228d146e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete = nx.complete_graph(12) \n",
    "pos = nx.circular_layout(G_complete)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "66d4b33a-a781-4e3c-80b3-80aeccb197cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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w5HhWVlbs3LmT/fv38+TJE2rUqMHvv/9OZGRkmu5PcooWLUqXLl1Yu3YtERERnD9/nkmTJmFsbMy4ceOoVq0ahQoVomPHjixfvpw7d+589RqEEEIIIYQA6bEV/6A7d+7oVt/18/PjyZMnZM+enfr16+t6+CpVqvRVh88m5dGjR4wePZply5ZRoUIFfHx8UKvVyZ6TXKiNjo7GysqK1q1bs2zZMt3ztWrVwsrKinXr1gEk6rGNi4ujQIEC9OrVi0mTJgGfeq9tbGywsrJi3759Ce6HoT23AB8/fmThwoWMHTuWuLg4xo0bR79+/cicOXOa7llqvH//nhMnTuh64M+cOUNcXBzlypXT/awbNmxI7ty5//ZahBCGkx5b/aTHVj+pJWkZqR6pRb+MVAtkrHoyWi0yFFn86549e8bBgwd1czLDw8MxNjamZs2auuHFtWvXJkuWLP9YTR8+fGD27Nl4eHhgamqKh4cHvXr1wtTUNNnzkgu1AK6urqxcuZKwsDAKFSoEfAq7+fLlY+nSpXTr1g1IHGwBOnTowO3bt3W9tgDbt2/n+++/Z/fu3TRv3jzBtVITbgGePHnCuHHjWLhwIWXLlmXmzJk0a9bsH/kCId7Tp0/x9/fXfRauX7+OsbExdnZ2us+Cg4PDPxK6hRBJk2CrnwRb/aSWpGWkeqQW/TJSLZCx6slotUiwFf+4Dx8+cPLkSV0vXWBgIHFxcZQtW1YXXho2bKhbFOmfpCgKe/bsYeDAgdy4cYPevXszfvx4LCwsUjw3pVAbGhpK1apV8fT0ZMiQIbrnN2/eTLt27bh9+zbFixcH9AfbpUuX0rNnT548eaK7N4qioFaruXPnDiEhIYkCX2rDLcDFixdxd3fH39+fJk2aMHPmTCpUqJDieX+Hmzdv6ubm+vn5ERUVhZmZGQ0aNND16FasWPEfDd9CCAm2SZFgq5/UkrSMVI/Uol9GqgUyVj0ZrRYJtiLV4uIUdl14wLrAO9x7+oai5tn5ya44LapYYmycOGAoikJoaKiuF+7w4cO8fv0aCwsLXFxcdGG2ZMmS//yb+czly5cZMGAA+/fvx8XFBR8fHypVqmTQuSmFWkVRaNy4MTdv3iQkJCRB73PPnj05dOgQV69e1T2nL9jeunWLUqVKsWXLFtq0aaM7NiQkhKpVqzJ9+nQGDhyYqLa0hFtFUdixYweDBg3izp079OvXj7Fjx/4rXzbEi59vHf85OnbsGO/fv6dw4cK6kOvi4oKlpWUybaTusyuE0E+CrX4SbPWTWpKWkeqRWvTLSLVAxqono9UiwVakSlycgvvGs+y8EIGxEcQp6P5sWdUSn/a2GBsb8eDBA10A0Wq1PHz4kCxZsiRYCdfW1jZDrIT79OlTxo8fz7x58yhRogQzZ86kZcuWBvcCphRqAXbt2kXLli3ZsWMHLVu2TPBamTJlaNq0KXPnztU9py/YwqdFn9RqNfPnz0/QRt++fVm7di3h4eEUKFAg0fXTEm7h0zxeHx8fJk2aRNasWZk0aRK//fYbJiYmBp3/d3r79i3Hjh3TfcbOnj0LfFpAK/4zVr9+fd3Pw9DPrhAiZRJs9ZNgq5/UkrSMVI/Uol9GqgUyVj0ZrRYJtiJVdpy7j9vGc0m+XvPDRS7/tYZLly4BUL16dV3IqFu3LtmyZfuHKk1ZTEwMS5YsYcyYMbx//54xY8bg5uaWqrm8hoTa9+/fU6lSJUqVKsX+/fsTBOYbN25QpkwZtm/fTqtWrXTPJxVs+/Tpo5uH/LmoqCisrKxo27Ytixcv1ltrWsMtQEREBCNHjmTlypVUqVIFHx8fGjZsaPD5/4THjx/j7++vW3jszp07mJqaUrt2bdRqNdmsnZgb/DrJ83072NLKtsg/WLEQ3y4JtvpJsNVPaklaRqpHatEvI9UCGauejFaLoXE1+RVzxP+MdYF3dL1cX1LiYgmMzkyNcuXo3LkztWrVSjB09fNtaf5tgYGBzJgxg2vXrtGyZUv69u1Lvnz5CA0NNbiNCxcu0K9fP8qVK8eUKVMICwvTe9zq1au5efMmU6ZM0fUqxtu6dSsmJibkyZOH4OBg3fPx9+rLe1a6dGmuXbvG7t27Ew257dGjB97e3jRo0ABra2u9tcydO5eePXtSu3ZtFi5cmKqhxf3798fZ2Znp06fj7OxMw4YNGTBgAEWKZJwwaGVlhZWVFb179+bu3bucPHmSwMBApk2bhlmLTGQpVhEj48S9zcZGnz7bEmyFEEIIIf7bpMdWAFB3qh/3n71L8vWY55HcX9DtH6xICMMU6b0c09yJh2nrXs+TjYBhzv9gRUJ8u6THVj/psdVPaklaRqpHatEvI9UCGauejFaL9NiKVClqnp2I5++S7LGNefaIfPnyYW9vj4ODA7Vq1SJ//vz/fKFfeP36NStWrGDt2rXkzZsXV1dXGjdunKbVdD/vqZ09ezbZs2dP8lgPDw8OHTrEtm3bEu3FGhsbi0qlon379vTu3TvBa5cvX6ZTp06sXbs20YrEv/zyC5aWlnh5eSW63smTJ+nbty9eXl7J7rd7/fp1evbsiYWFRap7buO9ffuWlStXsnr1anLlyoWrqytNmzb91+dNK4rCjRs3OHXqFKdOnSI4OJg3b94Q+yISk5wWSfbYFjXPOMPkhRBCCCHE30N6bAUAc3aeYMaJ6CRfjzu2DLuCxly7do3z588DUKlSJd3Kx/Xr18fMzOyfKpe4uDjWrFnDiBEjePr0KUOHDmXo0KFprsGQObXxgoKCqFWrFnPmzKFv38S9CWfOnKFWrVocOXIEJyenBK8lNccWYPTo0SxcuJDIyEi9IbJly5acP3+eK1euJDunOT1zbj9369Ythg4dyqZNm7C3t8fX1xd7e/s0tZVWERERum2BtFotDx48IHPmzNSpUwczMzMOHz6MaRkHcjd1T7INmWMrhOGkx1Y/6bHVT2pJWkaqR2rRLyPVAhmrnoxWi6Fx9d9fulb8686fP8+Ebi2JuXYC+NRD+/mf768eI9+bO2zZsoUiRYoQEBDAunXrsLOzY/PmzTRv3hxzc3Pq16/PpEmTOHXqFDExMX9bvSdPnsTBwYEuXbrg5OTElStXmDBhwj8SahVFwc3NjYoVK9KzZ0+9x2g0GnLkyIGDg0Oq6lCr1URFRXHu3Dm9r8+YMYOIiAi8vb2TbcfGxgZ/f38ePnyIi4sLT548SVUd8UqWLMmff/7JoUOHePfuHQ4ODvzyyy88ePAgTe0Z4tWrV+zdu5cBAwZQqVIlLC0t+eWXX7hw4QI///wz+/fvZ/369Tx48IB9+/Zha2vLs/N+vA879qkBJe7//vj02c366CL1SyX98xRCCCGEEP8NEmz/x50/fx4XFxfy58/Hgy2exB5ditmbh8Q8jyT2YRiPd0wj37W9XL8WjqenJ5cuXaJ+/fqcOXOGGTNmcPv2ba5cucKsWbMwNzdn+vTpODg4kC9fPtq0acP8+fMJDw83+JuW5Ny/f5/OnTtTu3ZtYmJiOHLkCBs3bqREiRJpbjM1oRZg48aNBAQE4Ovri6mp/pH8Wq2W+vXrkylTplTV4uDgQPbs2dFqtXpft7Kywt3dHU9PT+7evZtsW18r3ALUr1+foKAgFi9ezL59+3SLar17l/ScbEPFxMRw8uRJJk6cSP369cmbNy/Nmzdny5Yt2Nvbs379eiIjIzl79izdunXDx8eHH374gSJFijBkyBCOHTtGnTq1ebJzBo93TMMy01tinkeiRF4j5sgSHm2bRtMmTXjx4kW6axVCCCGEEBmXDEX+HxYfaosXL0727Nl59OgR165dY8KECYwbNw74FJCyZMlC1qxZCQkJYdeuXRw9ehRPT0+yZ8/O5MmT6datm27/05iYGE6fPq3bg/TEiRPExMRQokQJ3fZAzs7OqZqf+/btW2bMmIGnpydmZmZMmTKFrl27pnvP1dSG2jdv3lC+fHlq1qzJtm3bkjzG3NycadOm4ebmluj15IYiAzRr1oyPHz+i0Wj0tv/ixQusrKxQqVT88ccfKb7HrzUsOd6zZ8+YOHEis2fPpmjRonh7e9OmTRuD5zQrikJ4eLhuL+SDBw/y/PlzcuXKhbOzs+4zYmVlpWvz2bNneHh4MGfOHIoVK4a3tzf37t3Dzc2N33//nTVr1uDk5IRWq8Xf358GDRpQunRp7ty5w++//866deuwtrZm//795MqVK13vX4j/OhmKrJ8MRdZPaklaRqpHatEvI9UCGauejFaLDEUWyYoPtSVKlMDV1ZWAgADatm0LoJtHaWxsTPPmzQkODqZz585UqlSJFi1aoFaruXr1Kk2aNOH333+nZs2aHDlyBEC3v+jYsWM5cuQI0dHR7N69m9atW3PixAl+/PFHChQoQPXq1Rk2bBgajYa3b9/qrVFRFDZv3kyFChXw8PCgT58+hIeH06NHj3881AJMnz6dyMjIZIcCHz16lA8fPqBSqdJUl0ql4ujRo0nek1y5cuHp6cm6des4fvx4iu19zZ5bgDx58jBjxgxCQkKwsbGhbdu2ODs7c+HChSTPefz4MRs2bKBHjx6ULFmS8uXL4+bmRnR0NIMGDeLEiRNERUWxbds2+vbtS7ly5TAyMiI2NpZFixZhZWXF4sWL8fDw4NKlS9y/fx83NzcGDx7My5cvyZUrF9mzZ8fOzo6cOXMCcPPmTXr06MGqVatYt24dV65coXHjxtJzK4QQQgjxHyXB9n/Q56F2165dTJgwgebNmxMZGYmNjY2uN7VChQrcvn2b9u3b4+HhwaZNm3QLRt2/f5/Vq1dz4sQJMmfOTP369Wnfvj23b99OcK2cOXPSvHlzfHx8CA0N5f79+6xatYpKlSqxevVqGjVqhLm5OSqViqlTpxIcHExcXBznzp2jYcOGtGvXjsqVKxMSEsL06dMTrUCcFmkJtXfu3GHq1KkMGDCAMmXKJHmcVqvF0tKSihUrpqk2tVrN+/fvCQgISPKYLl26UL16ddzc3IiLi0uxza8dbgHKly/P7t272bt3LxEREVSrVo3evXvz+PFj3r59i0ajYejQoVSrVo0CBQrQsWNHTp48SZs2bdi9ezdPnz7l8OHDjBkzBgcHh0TDug8dOkSNGjXo1asXzZo1IywsjBEjRrBkyRJcXV0ZPHgwrVq1Yv369UyaNIkjR44kWC1aURTs7OzIli0bGzduRKPRSLgVQgghhPgPk2D7P+bzUKvValmxYgX37t1jxowZaDSaBD2N9vb2+Pn54eXlxdOnT5k7dy5//fWXLtwGBgbi4ODAiRMnWL16NceOHcPa2pqxY8fy+vVrvdePXwxo9erVPHjwgIsXL+Ll5UWWLFmYOHEiNWrUIHv27FSvXp2rV6+ycuVKdu3aRbly5b7K+09LqAUYNmwYuXPnZtSoUckeF38P07LdEHxaabpgwYJJDkWGTz3pvr6+nDlzhtWrVxvU7t8RbgGaNm3K+fPncXd3Z8WKFVhaWpIrVy4aNWrE2rVrqVy5su5nHRISwqxZs2jevHmS9/3WrVu0a9eOhg0bkjVrVk6dOsWqVauwtLRkzpw5ulDr5eWFu7s7NWrUoEqVKkRHRyf47JYsWZLjx48zadIkVq1aRVxcnIRbIYQQQoj/MAm2/0O+DLVv3rxhypQpuLm5YWRkxN27dxP0etnb2/PkyROePXvG0KFDmTFjBo8fP04Ubo2NjencuTNhYWEMHDiQadOmUb58ef74449kx8QbGRlRqVIl3N3d2bZtG+PGjSNHjhwYGRlRvHhxHj16RJcuXShbtiy9e/dm69atPH36NM3vP62h9ujRo2zYsAFPT0/dUFd9IiMjOX/+fJqHIcOne6JSqZJcQCqeo6MjP/74I8OHDzc4pH3NcHvz5k2WLFlC+/btsbS0ZObMmZiYmGBpaUlsbCylSpVi2bJlrF69ms6dO1O4cOFk23v16hWjR4/G2tqa48ePs2bNGo4fP46dnR1AglA7bdo0Vq9eTVBQEL6+vvj7+2NmZpZgFWp7e3s0Gg3du3enSpUquLq6Ur16dQm3QgghhBD/VYr4n3Du3DnFwsJCqV69uhIdHa0oiqJ06tRJyZ8/v/Ls2TNl7ty5iqmpqfLixQslKChIAZQTJ04o2bNnV6ZOnaq8evVKKVq0qPL9998riqIoL168UOrUqaPkypVLOXXqVIJrXb9+XWnTpo0CKLVr11YCAwOTrW3v3r1K+fLlFWNjY6V3797K48ePFUVRlKdPnyrbtm1T+vTpo5QrV04BFGNjY8XOzk4ZNWqUcvDgQeXdu3cGvf/jx48rOXPmVJycnJSXL18afN9iYmKUatWqKTVr1lRiY2OTPXbdunUKoDx48CDJY+LvbVBQUJLHrFy5UjEyMtLdh6Tcvn1byZYtmzJs2LDk38QXQkJClAIFCihVqlRJ8RrxoqOjlc2bNyu9evVSypQpowCKiYmJUrt2bWXMmDHKkSNHlPfv3yuK8umz1qBBAwVQmjdvrly9ejXJdmNjY5U1a9YolpaWSpYsWZRRo0Yl+vnMnj1bAZTBgwcrcXFxyvPnz5WCBQsqHTt2VBRFUZydnZVmzZopivL/7++sWbMUQAkPD1cOHjyoAMqaNWsURVGU06dPK3ny5FEcHByU58+fp+reCfFfB8hDHvKQhzzkkaEeBv8f9jf+/ygyCH2h9sSJEwqgLFmyRFEURWndurXi5OSkKErC8NWkSRNFrVYrivL/g5ufn5+iKMmHW0VRFH9/f6Vy5coKoHTp0iVR4Lty5YrSrFkzBVAaNmyonD9/Ptn3cevWLWXp0qXKjz/+qOTLl08BlOzZsytNmjRRZsyYoVy4cEGJi4tLdF5aQ62iKMrSpUsVQDl+/HiKx3bt2lWxsbFJ9hhDgu29e/cUQNmwYUOK1xw/frySOXNm5dq1ayke+7mUwu27d+8Uf39/ZeTIkUqtWrUUY2NjBVDKlSun9O3bV9m2bZvy7NmzJNuPi4tTNm/erJQsWVIxNTVVBg0alOj4U6dOKQ4ODgqgtG3bVrlx40aidr4MtYqiKEOHDlWyZcum3LlzR3n9+rWSOXNmZdasWYqi/P/7e/jwYcXExERZsGCBoiiK0rZtW8XS0lL385dwK4R+//YvL/KQhzzkIQ95fPkwlGz38x/35fBjc3Nz4uLiqF27Nh8+fODMmTMoioKFhQWDBw9mzJgxCbakOXToEKNGjeLp06dkyZIFR0dHXr58SXBwMKamprx8+ZImTZoQEhKCRqPRDR2NFxMTw9KlSxk9ejTv379n1KhRdOnShWnTpjFnzhyKFi3KjBkz+P7771M1LzUuLo7z58/rto05evQo7969o2DBgqhUKt22MXfu3EnT8GNI3dY6iqJQokQJfvjhB2bNmpXkcSlt9xOvYsWK1K1blyVLliR73Tdv3mBtbU2NGjWS3IIoKZ9vBaTVaomIiNBt03TkyBHevHlD/vz5cXFxQa1Wo1KpKF68eKqu8fbtW2bOnMmUKVMwMzNj8uTJNGnShNGjR7N69WqqVKmCr68vDRo0SHTul8OPjYyMuHbtGjY2NowcOZJx48Zx4MABGjdurFul+fP76+rqSsGCBdmyZQu3bt3C2tqaIUOGMHHiRADOnDmDWq2WrYCE+ExG2+4nI9QCGWv7Idl6SL+MVAtkrHqkFv0yUi2QserJaLUYGldlju1/mL5QC7B27VoCAwPx9fXFxMSE06dP8+LFC71zQ1UqFe/evePYsWMYGRnh6+vLxYsXdYErZ86ciebcfs7U1JRevXoRHh5Ot27dGDVqFEWKFGHBggVMmDCBy5cvp2of1HjGxsZUq1aNIUOGcODAAZ4+fYpWq6VLly5cuXKFbt26UbRoURwdHcmZMyf9+vUzaAXhz02aNIlXr14xderUFI8NCwtLNEc5PdRqNRqNJsW/yNmzZ2fatGls3749xXm5X8qdOzeurq5cvXoVS0tLqlatyujRo4mLi2PChAmcPXuWhw8fsn79erp165bqUAuQLVs2Ro0aRVhYGGq1mt9//52SJUuyY8cOFi1aRHBwsMGhFmDw4MEULFiQIUOGAJ8W6ypcuLDeVahVKhX+/v7ExsZSsmRJBg8ezPTp07l16xYANWvWlDm3QgghhBD/ERJs/6OSCrUvX75k+PDhtG/fnnr16gGftqjJlSsXtWrVStRO5cqVKVCggC401axZk65duzJmzBiio6OBlMNtfD2HDx8mLi6OQoUK8e7dO/z9/bl27dpXeb9Zs2bFxcUFLy8vzpw5w549e8iWLRsFChTA1NSUDh06kDdvXhwdHRk/fjwBAQF8/PgxyfbCw8Px8fFh+PDhFC1aNMXra7VaMmXKpLun6aVSqbh9+zbXr19P8dgOHTpQt25d3N3diYmJSfK4Fy9esHPnTvr370+FChUoVqwYY8aMoWzZsmTOnJnSpUsTHh7O/v37GTx4MLa2thgbp/+fCEVRCAwM5MSJE5iYmJA/f36eP3+OVqvl3r17iY5PKtRqNBp27NjB9OnTyZ49O/Dpvie1CrVarebZs2cEBQUBMHz4cCwsLHShGCTcCiGEEEL8V0iw/Q9KKtQCeHp68vTpU6ZNm6Z7TqPR0LBhw0R7icL/X6X38+1npkyZwvv375kwYYLuuaTC7Zfbt5w8eZJ79+6xe/du7ty5Q9WqVenXrx9RUVFf7f2fOHGCDh06ULNmTcLDw7l16xbXrl1j7ty5FCpUCF9fXxwdHbGwsKBly5bMmTOHK1euJOgdHTRoEIULF2bw4MEGXVOj0VC7du1UDXVOToMGDTAxMUl225948T3ply5dYtGiRbrnP378yLFjxxg/fjx169Ylb968tGrVij179lCvXj3+/PNPHj9+TEhICIGBgbx69YrmzZt/ta2AAC5evIhKpaJNmzZYW1sTEhLCgwcPWLVqld7toZIKtTExMbi7u+Po6Ej79u2BT6tQnzt3LslVqO3s7MiZM6fuHubIkYOpU6eyefNmDh06pDtOwq0QQgghxLdPgu1/THKh9saNG8yYMYOhQ4dSokQJ4NM2KydOnEh2CK1arebs2bO6wFOoUCHGjBnDvHnzuHTpku64L8Nt165dE23fYm9vj5GREc2bNyckJIRp06axZs0arKysmDNnTrK9qIbQt6WPkZERZcqUoVevXmzevJknT54QGBjI8OHDefnyJYMGDaJChQoUL16crl27Mnz4cHbt2oW3tzfZsmVL8ZoxMTEcPHgwXdv8fClnzpw4ODgYFGwBatSoQdeuXRk1ahSenp60bNkSCwsLnJycmD17NpaWlsybN4/r169z48YNFi1aRLt27bCwsAC+/j63T548oU+fPtja2nLv3j327NnD3r17sba2xtjYmF9++SXR9lC//vqr3lALsHDhQi5fvoyvr6/ueX9/f4Ak73umTJlo0KBBgiHaP/30Ew4ODri7uxMbG6t7XsKtEEIIIcS3TYLtf0hyoRZgyJAh5M+fn6FDh+qeO3z4MDExMckGW5VKhaIouiAB4ObmRsmSJRkwYECCnk4zMzO6dOnC27dvWblyJR07duTq1at06tQp0bDWzJkzM2jQIMLDw2nbti1ubm7Y2toaHOa+ZOg+tSYmJtSqVYuRI0dy8OBBnj59yr59+2jfvj1BQUG6ObUeHh4MGjSIv/76S9ejqE/8HOWvNb82nlqt1s0RTcrDhw/5448/6NKlC3v37uX58+eMHj2aV69eMWLECAIDA3n8+DGbNm2iZ8+elC5dOsm2vka4/fjxI7Nnz8bKyop169bh7e3NxYsXadasWaJjc+TIweTJk7l06RL58uVj9erVFC5cmHbt2iUItVFRUYwdO5Zu3bolWHBLo9FgY2ODpaVlkvWo1WoCAgJ0Pz9jY2N8fX05f/48y5YtS3CshFshhBBCiG+XBNv/iJRCrb+/P1u3bmXatGmYmZnpntdqtRQrVgwrK6sk2y5atCjW1tYJer6yZMnCjBkzOHDgAHv27AEgMDCQunXr8vvvv9O0aVNq1KjB1q1bE/Tq6lOgQAEWL15MUFAQFhYWNGrUiJYtWxIeHm7w+zc01OpjZmZGkyZNmDFjBr/99htGRkZMnjyZmjVrsnHjRpo2bUrevHlp2LAhkydPJjAwMEHY1Gg05M6dm5o1axp8TUOo1WqeP3/OmTNndM+9fv2affv2MXDgQKpUqULhwoXp1KkT586d4+eff6Z79+4YGRkxZ84cRowYQa1atTAxMTH4mukJt/v376dq1aq4u7vTvn17wsLCGDBgAJkzZ072vD179nD+/Hnat2+PhYUF9vb2dO3alYiICADGjx9PTEwMkydP1p2jKAoajSbFXnKVSsXHjx85evSo7jk7Ozt++eUXRo0axbNnzxIcL+FWCCGEEOLbJMH2PyClUBs/P7FOnTp07NgxwWsajQa1Wp3iqsT6Vult2bIlKpWK/v3707lzZ+zt7Xnz5g0HDx5kx44dHDx4MNkFpb5UrVo1Dh8+zMaNGzl//jw2NjYMHTo0xXCRnlD7uSdPnjB27Fh69OjByJEjWbFiBXfv3uXy5ct4e3uTK1cupk6dir29Pfny5eOHH35g4cKF7Nq1K8k5yulRq1YtcubMyYoVK5g8eTINGjTA3NycZs2asWnTJmrWrMm6det4+PAh586dw9vbm3nz5lGqVKlEPempkdpwGxYWRosWLWjSpAn58+cnODiYRYsWUaBAgRSv9fmc2g0bNnD27FkWLFjArl27KFeuHAMGDGDBggWMHTuWggUL6s4LDw83aBVqa2trihQpkmgUgKenJ2/fvsXDwyPRORJuhRBCCCG+PRJsv3EphVqAJUuWcPHixQTzEwEePHhAaGioQXNDVSoVt27dSrBK7/v376lYsSK3bt1i69atLFy4MMH2LYaslvwlIyMj2rdvz5UrVxgzZgxz587FysqK5cuX692u52uFWoBx48YRFxfHpEmTEtRjbW1N//792bFjB1FRURw7dgx3d3cePXpE3759OXPmDEeOHOH333/nzz//TNdCWIqicO3aNRYsWMCPP/7I27dvWbRoEdOmTSNPnjzMnDmTK1eucOfOHZYvX07Hjh0TBL4sWbIwc+ZMNBoNu3btSnMdhoTb58+fM2TIECpVqsTFixfZtGkThw4dwtbW1qBr6Fso6svtoXx9fTE2NqZEiRIJgrpGo8HU1DTFVaiNjIx0X8p8ztLSklGjRukWDvuShFshhBBCiG+LBNtvmCGh9unTp4wZM4auXbsmGirr5+cHgIuLS4rXil+lV6vVoigK27Zto2LFisyfPx9bW1tMTExo3bp1omGvaQm38Gn/0zFjxnD16lVUKhXdu3enVq1aHDt2THfM1wy1Fy9eZOHChYwbNy7ZnsZMmTJRt25dxo0bx7Fjx1i/fj0AzZs359ixY3To0IH8+fNTo0YNhg8fjlar5d27d8le+8mTJ/z555/89ttvlCpVCisrK1xdXYmMjEStVmNqasrt27fZvn07/fr1o3z58sn2sH/33Xc0atSIgQMH8v79+7TdEJIOt7GxsSxdupRy5coxf/58xo4dy+XLl2nbtq3B+xEntfpxPHNzc5ydnVEUhUqVKtG+fXvUajUhISHApyH0tWvXJmfOnCleS6VScfHiRR4+fJjg+QEDBlCsWDEGDhyo9zwJt0IIIYQQ3w4Jtt8oQ0ItwIQJE3j//j1TpkxJ9JpGo8HW1tagIaO5cuXCwcGBzZs367ZvKV++PBcvXkSr1WJqasro0aP1npvWcAtQrFgx/vjjDwICAjA2NsbJyYmOHTuybdu2rxZqFUXB3d2dsmXL0q9fv1Sde/z4cYoXL86qVau4dOkSd+/eZcWKFVSoUIGVK1eiVqsxNzenUaNGTJs2Tdc7eOrUKYYNG0aNGjUoUKAAHTp04Pjx47Rq1Ypdu3YRHR3N0aNHmTlzJjExMZw4ccLgmoyMjJg1axa3bt1i9uzZqXo/X/oy3O7atYtatWrx22+/0ahRI65evcro0aMNWj06XkqhFj6NBhg0aBCNGjXizJkzCbaH6tOnD35+fgYv1hU/IiH+i5x4WbNmxdvbm3379rF3716950q4FUIIIYT4Nkiw/QYZGmovXbrE3LlzGT16NIUKFUrwmqIoaLVag7eoefLkCe/fv8fPz4+7d++yZ88e9u3bh7W1NRYWFnh4eLBs2TKCg4P1np+ecAtQp04dTp06xYoVK9i/fz9t2rTB3NyczZs3p3vv2B07duDv78/MmTNTXOjoS/ELGMWHs6JFi/Lrr7+ydu1aIiIiuHDhAhMnTuT169eMHj2an3/+GYA+ffqwaNEiSpQowcqVK7l37x6hoaH4+vry3Xff6Xoiy5cvr3eOaEoqVqxInz59mDhxYqKeytSysbHhjz/+4OrVq7Rs2RJAt4VT0aJFU9WWIaEWwNfXl1u3bjFr1iyMjY0TbA+1atUqXr58ydOnTw3aHqpgwYJUrlw5weJn8b7//nsaNmzIwIED+fDhg97zJdwKIYQQQmR8Emy/MYaGWkVRGDBgACVLlsTd3T3R65cuXSIiIiLFXq/Pt2+JX914xYoVibZv6dWrFxUrVsTNzS3JRYvSG26NjY0pX748MTExFC1alIiICGrWrMmGDRvSvFDSu3fvGDRoEE2aNNG7JU1yHjx4wKVLl/Tew9u3b7Ns2TImTZqEl5cXx48fJ3PmzFSqVAmAMmXK8OLFC7Zt28akSZOYPHky27ZtS7RKb/wcUX2hLCXjx48nU6ZMjBo1KtXnxnv9+jXjxo2jRYsW5MyZk5w5cxITE5PsKtpJMTTUPnz4kIkTJ9K3b18qVqyoez5+e6j+/fuTKVMmZs2aZfD2UPoWP4NP99fHx4fw8HDmzZuX5PkSboUQQgghMjYJtt8QQ0MtfNpC5cCBA8yYMYMsWbIkel2j0ZA5c2YcHR2TbOP48eOJtm/JmTMnhw4dSnSsqakpPj4+HDt2jD///DPJNtMTbj+fU3v58mUuX75MjRo16NixI05OTgQFBRncVjwfHx/u3LnDzJkzDZ4fGi8+bLq4uPDs2TO2bt1Knz59sLKyomTJkvTs2ZPbt2/Tu3dvDh06RHR0NKtWrQLQLTK1ZcsWVCoVGo2GNm3aYGFhgYODA2PGjOHw4cN8+PABtVqtd45oSvLmzcvEiRNZsWJFgi2DDKEoCuvXr8fa2hovLy8GDBjAjRs3OHHiBI8ePUr1VkCGhlqAkSNHkiVLFsaPH6/39ePHj9OsWTOCg4N120O1atWKa9euJdmmWq3m/v37eheKqlKlCj179mTChAlERkYm2YaEWyGEEEKIjEuC7TciNaH2w4cPDBw4EJVKpRs6+iWtVoujoyPZs2dP9Nrt27cB6N+/f4LtW4oUKUKDBg2S7D1UqVS0atWKIUOG8ObNmyTrS0u41bdQVJkyZdi2bRsajYZnz55Rq1YtevTowaNHj1JsDyAiIoJJkybRr18/KlSoYNA58T58+MDatWspWLAg3333HRYWFvzwww9otVoaNWrE1q1biYqK4uTJk0ycOJH69esnGuZsbm5OmzZtmD9/PuHh4dy8eVM3PHnBggU0aNCAvHnzsnz5cuBTT3lqe6Z///13bGxscHd3N/jcM2fO4OTkxE8//UStWrW4fPkyU6ZMIWfOnGna5zY1ofbMmTOsWLGCiRMn6v2Mv3r1ihMnTqBWqxNsD3Xu3DkqVqyIr6+v3nadnJzInDlzkp9dDw8PjIyMGDNmTLLvRcKtEEIIIUTGJMH2G5CaUAufgsT169eZNWuW3hDx4cMHDh06lGgIbfz2Le3btwdg6tSpibZvUavVBAQE8Pr1a73X9vb25uHDh3h7eydbY2rCbUqrH6tUKs6dO8ecOXPYtm0bVlZWTJ8+PcUVgUeOHEnWrFkZO3ZsssfBpx7MixcvMmvWLJo1a0aePHnQaDS8ePGCUqVKsXjxYm7dukVYWBjz5s3j+++/J0+ePCm2+7mSJUvSo0cPNm7cSGRkJEFBQYwZMwYjIyOMjIwYOXIklpaWdO7cmdWrV/PgwYMU24zvSQ8ICGDjxo3JHvvw4UO6deuGnZ0dz58/R6vVsnXrVkqXLp3guNSE29SEWkVRcHNzo1KlSvz22296jzl8+DAxMTG6z+6X20PFv8cdO3Yk2B7KzMyMOnXqJDlsOV++fIwfP54lS5Zw7ty5JGsECbdCCCGEEBmRBNsMLrWh9tGjR3h4eNC7d2/dfM4vnTp1itevX+sWjoqNjWXZsmW67VviQ8XniyLFU6lUfPz4kaNHj+ptu2zZsgwYMAAvLy/u3r2bbK2GhFtDt/QxNTWlb9++hIeH06VLF0aMGEGlSpXYtWuX3p7K06dPs3LlSiZNmpTkPb1//z6rVq2iU6dOFC5cmCpVqjBy5EhiYmLo1asXAFu3bmXDhg10796dEiVKJPt+U8PY2Jjq1aszbNgwNBoN/fv3x8LCgs6dOxMaGsqvv/5KkSJFsLGxwc3Njd27d/Py5Uu9bbm4uNC6deske9Lfv3/PtGnTKFeuHDt27GDevHmcPXs22W2gDAm3qQm1ABs2bOD48eP4+Phgamqq9xitVkuxYsUSzfGN3x5q69atwKceWDs7OwICAnTHqFQqDh06lOSCU3369KF8+fIG9W5LuBVCCCGEyFgk2GZgqQ21AKNHj8bExIQJEyYkeYxGoyFv3rxUq1aNo0eP6obwqtVqrl69So8ePZI819raOsVVekeNGkWuXLkYNmxYivUmF27Tsk9t3rx5mT17NufPn6dUqVK0bNmSJk2a6Ba+gk89g66urlSpUiVBz+DLly/ZtWsXbm5uVKxYkaJFi9K1a1cuX75Mly5d0Gq1PH36lAMHDlC8eHGyZMlC/fr1U6zpa2jatClRUVF07dqV4OBgIiMj2bBhA7Vr12b79u20aNGCvHnz4uTkhIeHB8ePHycmJkZ3vre3N5GRkUybNi3BfdixYwc2NjaMHDmSrl27Eh4eTu/evZMMlp9LLtymNtS+fv2aoUOH8v333ycbqDUaDWq1Osn24lf/XrZsGQCOjo507NiRO3fuoFarefnyZZKjAzJlyoSPjw+HDx9my5YtydYLEm6FEEIIITISCbYZVFpCbXBwMMuWLcPDwwMLC4skj9NoNDg4OPDzzz9Tr149TE1NOX78OGvXrk1x+xYjIyPdYkdJyZUrF56enqxfv55jx46lWLe+cJuWUPs5Gxsb9u/fz44dO7h+/TpVqlTB1dWV6Oho1q1bx8mTJ/H29ubUqVNMmDABJycn8ubNS8uWLdm5cyeOjo4JhgR7eXnh4uJC1qxZdffQ0dExVfu3pkf8HNH4+54/f346dOjA0qVLdUOgZ8+eTf78+Zk5cyZ169bFwsKC1q1bM3fuXGJiYhgwYABTp07lzp07hIaG0qhRI1q3bk2ZMmW4cOECvr6+5M2bN1V16Qu3qQ21ANOmTSMyMjLZIewPHjwgNDTUoC2qbG1tCQwMZPny5Rw8eBBra2v27NmjG0KelMaNG/Pdd98xePBg3r59m+J1JNwKIYQQQmQMRkpa90kRf5u0hFpFUahXrx5Pnz7l3LlzSfa4PXjwgKJFi2JiYkK+fPnw8vKic+fOGBv//+84goODqVGjBkFBQVSvXj1RG3/88QedOnUiIiIi0f648eLi4rCzswMgMDAwQftJefnyJU2aNOH8+fMoikKNGjXSFGq/9P79e2bPno2HhwfGxsZ8/PiRPHny8OrVK16+fEmePHlwdnZGrVajUqkoU6ZMsmHsw4cP5M2bl9GjRzN8+PBU1ZLSvU1Ow4YNyZkzJzt37kz2uJiYGIKCgtBoNGi1Wo4fP87Hjx8pUqQIUVFR5MmTh8ePH1OqVClmzZpF8+bNU70i9JdCQ0NxdnbG1NSUBw8epCrU3r59G2trawYMGMCUKVOSPG7NmjX88ssvPHr0iAIFCug9Rt/9ffHiBVOmTGHWrFmYmJhQvHhxLl++nGRtYWFhVKpUibFjxzJ69GgD3v2nRa/UajXW1tbs37+fXLlyGXSeEBmNkZERbz/++78WZMv06e9nRqgF/n89WW37/suVwLtzn7Ymywj3JiP9nDJSLZCx6pFa9MtItUDGqiej1WJoXJUe2wwmLaEWYNOmTRw7doxZs2bpDbXx27dUqVIFRVHo0aMHYWFh/PrrrwaFzs/F95j5+fkleYyxsTG+vr4EBQXptrhJSc6cOZkwYQJv377l/fv3eHh4pDvUPnr0iC1btnDp0iVy5crFixcvePv2Lc+ePaNt27acOnWKJ0+esGXLFnr16kXZsmVTDGMnT57k9evXKe4B/LWp1epk54jGMzU1xd7entGjR+u2Gdq5cyflypXj/fv3PHz4kNjYWLJly8ahQ4c4cOBAsqtYG8LGxobu3bvz4MED8uXLx9ChQw0Oy8OGDSNPnjyMGDEi2eM0Gg22trZJhtqk5MqVCy8vL0JDQ7GysuLq1avUrl07ye2hypUrh6urK56enty/f9+ga0jPrRBCCCHEv0uCbQaS1lD75s0bhgwZQsuWLfWGraCgIN32Lblz56Z48eIsWLCAnDlzpqnOggULUrly5SS3TolXt25dOnbsyIgRIwz6Rf/EiRO0adMGe3t7atasSatWrVK1zy18uhd//fUXgwcPpmrVqhQqVIiff/6Z4OBgmjZtSubMmencuTPVqlVjxYoVeHp6cuvWrVRdI36O8uerRf8TVCoVL1++5NSpU6k67+TJk4wYMYJDhw7RtWtXbGxsKFGiBLa2tqxfv54mTZpgbm6Os7Mznp6enD59mtjY2FRdY86cOXh6etKlSxfdcHVDtgI6evQoGzduxMvLK9nPo6IoaLVag4YhJ6Vs2bK6ubMRERHJbg81ZswYzMzMUtUjL+FWCCGEEOLfI8E2g0hrqIVPCwNFREQwY8aMBM/Hb99Sq1Yt3fYtpqamNG3aNN31qtVqNBpNikMDpk6dyosXL5g8eXKyx30+p/bAgQNoNBqDtgKKjY3l9OnTTJkyhYYNG2Jubk7Tpk3ZsGED1atXZ+3atURERHD+/HlevHiBhYUF8+fP59ixY6xfv54zZ85QsWJFRowYkeSqwl/SarW4uLhgYmJi0PFfS40aNTA3N0/xC4V4165do3Xr1qjVaszNzTlz5gzLli1jyZIl3L59m/r163Pv3j1CQ0OZPn06ZmZmTJkyBTs7O/Lnz0/btm1ZtGgRN27cSPY6n8+pjZ/TashWQLGxsbi5uVGrVi06d+6c7DUuXbpEREREunvJy5QpQ8mSJWnRogVz5sxh69atereHyp07N1OmTGHt2rWcOHHC4PYl3AohhBBC/Dsk2GYA6Qm1d+/excvLiwEDBlC2bFkg8fYtc+fO5ezZs1hZWREWFpauXq94KpWK+/fvc+XKlWSPK1asGMOHD2fWrFmEh4frPUbfQlHJrZZ8/fp1Fi5cSNu2bcmfPz92dna6Hj9vb28uXbrE3bt3WbFiBT///DOFChXi8OHDbNq0ialTp5IjRw6MjIz48ccfuXr1KiNGjMDHx4dy5cqxatWqBPuffunZs2cEBgb+48OQAUxMTHB2dk528SP4NFd5+PDh2NjYEBwczIYNGzhy5Ihuzmnt2rX5+eefGTlyJC9evKBixYq4urqya9cuoqOjOXr0KP379yciIoK+fftSpkwZSpcuTc+ePdm0aRNRUVG6a+lbKMrQfW5XrFjB2bNn8fX1TXE4vEajIXPmzDg6OqbyriVkZGSEWq3Gz89Ptz3Ur7/+qnd7qK5du1KtWjXc3NyS/Ux8ScKtEEIIIcQ/T4Ltvyw9oRY+zU/MlSsXo0aNSnL7lj59+mBqaopWq8XIyAhnZ+d0112vXj0yZ85sUO/h4MGDKVy4MIMHD070WnKrH8eHW2traxo0aEDr1q0pXbo0ZcuWpV+/fjx8+BBXV1eOHTtGVFQUO3fupH///lSoUCHB/M74nkF7e3t+/vnnBNfPnj0748eP5+rVq9SvX58uXbrg4OCQZC/doUOHiIuL+ypfDqSFSqXi1KlTesNSXFwcK1aswMrKitmzZzNy5EiuXLlChw4dEs139fLy4tWrV0yaNCnB85kyZcLR0ZEJEyYQEBBAVFQU27dvp3nz5hw+fJj27duTP39+atWqhVqtxtXVFXd390QLRaUUbp8/f87IkSPp1KkTtWvXTvF9a7VaHB0dyZ49e2pul14qlYorV65w7949LCwsmDNnDufPn6dkyZIJtocyMTHB19eX06dPs2bNmlRdQ8KtEEIIIcQ/S4Ltvyi9oTYgIID169czZcoU7t69m+L2LRqNhpo1a6Z6Sxd9zMzMqFOnToq9h/ApPE6bNo2dO3cmOD6pUPvu3Tv8/PwYMWIEDRs2JDAwkLdv37Jr1y5q1qzJzp07iY6O5tixY4wfP566deuSKVOmJK+/fPlyzp8/n2zPYPHixXU9mzExMdSpU4dOnTpx7969BMdpNBrKlClDqVKlDLlNX51arSY2NpZDhw4leP748ePY2dnRrVs3nJ2duXr1KuPGjUsyCBYtWpThw4fj6+ubZE86fBqS26pVK+bMmcOVK1e4c+cOy5Yt0815BVi4cCFNmjTB29ubc+fO6Xo3kwu3kyZN4vXr13h5eaX4nj98+MChQ4e+Wi+5s7MzRkZGCb6UsbGx4cCBA4m2h7KxsaF9+/apGqoeT8KtEEIIIcQ/R4LtvyS9oTYuLg43NzeqVq1KcHAwVatW5datW+zatYu//vqLihUrJjrez8/vq/Y0qlQqg1bpBWjfvj2Ojo64u7sTExOTINTu3r2ba9euMX36dBo1aoS5uTkqlYoVK1ZgbW3NihUruHz5Mg4ODuzfv5+CBQsavJ3Ks2fPGDVqFJ07d8be3j7F452cnDh9+jRLly5Fo9FQvnx5Jk6cqNvTVKPR/Gu9tQClS5emZMmSui8I7t69y08//UTdunVRFIWjR4+ybt06ihUrlmJb8T3pgwYNMvj6xYoV49WrVwQFBTFo0CDOnj3LpEmTMDIyYuzYsVSrVo1ChQrRsWNHli9fTq5cuRKF27CwMHx9fRkxYgRFihRJ8ZqnTp3i9evXX+2+58uXj2rVqiUabWBkZETLli0JDQ3F09OTlStXYmVlReXKlYmOjsbT0zPV15JwK4QQQgjxz5Bg+y9Ib6iFT72QQUFB3Lhxg9WrV+Pl5UVISAjfffed3m1WLly4wOPHj7/q3FC1Ws3Lly8NWrnYyMgIX19fLl++zLBhw2jUqBGFChWiQIEClC1blmrVqjF+/HhMTEyYPHkyFy5cICIigrVr19KlSxesra2TnHObnIkTJ/LmzZtUhRITExO6d+9OWFgYffr0YeLEiVSoUIH58+cTHh7+r8yvjRc/R1Sj0eDh4UH58uXx9/dn2bJlnD59OlVzULNly4a3tze7du1i//79Bp3z+Zza6dOnY2try6BBg/jrr7+Ijo7G39+fHj16cP36dXr06EHx4sVp06YNLi4u3L59mwYNGtC/f38sLS0NDtTxq1BXq1bN4PeWErVajVar1bv4WZYsWRgyZAhhYWG0bt2asWPHkjt3bqZPn57iQlr6SLgVQgghhPj7SbD9h32NULtjxw569+4NfOoJDQ8PZ/DgwWTJkiXJczQaDdmyZaNOnTpprv1LNWrUIE+ePAYNR3727Bl37tyhRIkSzJw5k1evXnHt2jXu3r3Lb7/9xsGDB4mOjmbfvn0MHDiQypUrJwroyS0opc/Vq1d1c00N6Rn8UnyYCQ0NpUqVKvTt2xeA/Pnzp7qtr0VRFMzMzLh69SoTJ06kf//+hIWF0a1bt1TvRwzQtm1b6tWrx4ABA1Lsede3UNTnsmbNSsOGDZkyZQqBgYE8efKEzZs307BhQ06dOsXz588JDQ3lwIEDVKlShTNnzvDhw4cUa9RoNDg7O3/VVahVKhWPHj3i4sWLSR5TqFAhli1bRmBgIKVLlyYmJgZHR0cJt0IIIYQQGZAE239QekNt/PYtrVu3Ji4ujj179rB06VIKFiyY4rlarZZ69eolG35TK36VXn0LSH348IEjR44wZswYateujYWFBd9//z23bt3S9TpGRUVx6tQpJk+eTIMGDQyqLTXhduDAgRQtWpSBAwem631aWVmxc+dO6tevT9asWWnQoAE9e/YkMjIyXe2m1tmzZ6lfvz4+Pj7Ap3mqU6dONXhYtj7xPelXrlxhwYIFSR6XUqjVJ2/evPzwww8sXLiQ69evc+XKFfLly4eRkRF79uyhXr165M2bl++++w4fHx9CQ0MT9aA+f/78b1mF2tHRkaxZsxq0+FnNmjU5fvw4/fr1IyIiAmtra5lzK4QQQgiRwUiw/YekJ9R+vn3LqVOnMDU1ZcyYMTRr1syg89+9e8eRI0f+liG0arWakydP6nrjfHx8aN68OXnz5qV+/fosWLCA4sWLM2TIEHLkyIGTkxMTJ07E39+f+/fvp+mahoTbffv2sXfvXry9vcmaNWt63yZxcXGEhobi5uaGj48Pf/75J1ZWVsycOdOgXsf0iIyM5LfffqNGjRpERUVx4MABatSowYULF75K+7a2tvTo0YNx48bp3ZonLaFWn/379xMVFcWmTZuwsLCgbNmyDBgwgLdv3zJs2DAqVapEkSJF+OWXX1izZg0REREcPHiQuLi4r/7ZzZo1K05OTgaNNoBPXwDMnj0be3t7zM3NDd4e6ksSboUQQggh/h4SbP8BaQ21cXFxrFy5knLlyumG1NasWZPChQszdOhQg69//Phx3r1799UXPXrw4AEvX74kNjaWUqVKUalSJYYPH86HDx8YM2YMQUFBREZG4u7uzvz586lWrRp79+5lyJAhlC5dGnd3d71zHA2RXLj9+PEjAwYMoEGDBrRp0+arvNfz58/z5MkTGjdujKurK+Hh4XTq1IkhQ4ZQuXJl9u7d+1Wu87kPHz4wY8YMrKys2LJlC7Nnz+b8+fOo1WpUKhVarTZVoSo5kyZNIi4ujnHjxiV4/muF2idPnjBu3Dh+++03fvjhBw4ePMiLFy/YuXMnGzdu5OnTp+zfv5+ff/6Zixcv8ssvv2BpaUn37t3JnTs3ly5d4tWrV1/jreqoVCqOHDnC+/fvDTreyMiIuXPnEhkZyejRow3aHkofCbdCCCGEEF+fBNu/WVpD7fHjx7G3t6dr1640aNCAK1euUKdOHXbv3s306dNTtZ+nRqOhQIECVK5cOa1vA/jUc7xnzx7c3d2xsbGhSJEiDB06lMyZM1OqVCkOHDjA06dP0Wg0DBs2jOrVq3Pq1KlEW/pkzpyZmTNn4ufnx86dO9NcT1Lhdt68eYSHh+Pj45PmIPYlrVZL9uzZdXOU8+XLx7x58zh37hxFixalefPmNG3alCtXrqT7WoqisHv3bipVqsSwYcPo3Lkz4eHh9OvXD1NTU+BTT3lkZCQhISHpvh5AgQIFGDduHAsXLtTNO/1aoRZg7NixKIqi2zf3y62A3rx5Q6NGjZg+fTpnz57l0aNHrFu3jpiYGGJiYvjuu+8wNzenXr16TJw4kZMnTxITE5Ou96xWq3nz5k2qQ2nXrl2ZNWsW8+fPT3F7qOTakXArhBBCCPEVKeJvc+7cOcXCwkKpXr26Eh0dbdA5d+/eVX766ScFUKpXr64cPXpUURRF+fjxo1KxYkXF0dFRiYuLS1UdNWrUUDp27Gjw8UFBQQqgnDp1Sjl+/LgyYcIExcnJSTE1NVUApXjx4kr37t2VDRs2KJGRkUqPHj0Ua2vrRO0cP35cyZkzp+Lk5KS8fPkywWtxcXFK48aNldKlSyvv3r1L1fv50osXL5Q6deoouXLlUv766y8ld+7cSq9evdLV5pfUarXSpEkTva/FxcUp27ZtU0qVKqWYmpoq7u7uytOnT/UeG39vg4KC9L5+6dIlpXHjxgqguLi4KBcvXtR73Nu3b5WsWbMq3t7eaXo/+rx//14pV66c0rBhQ8XX11cBlMGDB6f68/al8+fPK8bGxsrMmTMTvRYSEqIUKFBAqVKlivL48eMEr92+fVsBlD///FO5evWqMnfuXKV169ZKrly5FEDJnTu30rp1a2Xu3LnK1atXlbi4uBTv7+diY2OVfPnyKSNHjkzV+4mIiFBy5MihuLq6KoqiKDExMcrSpUuVAgUKKNmzZ1cmTpyovHnzxqC2Tp8+reTJk0dxcHBQnj9/nqo6hPg7APKQhzzkIQ95ZKiHwf+H/Y3/P/5PS22off36tTJhwgQle/bsSoECBZRly5YpsbGxutfnzJmjGBkZGfQL++eePHmiGBkZKcuXL0/x2Li4OOXKlSvKsGHDFEAxMzNT4FOA+P7775V58+YpYWFhiYLOxo0bFUC5e/eu7rnkQm28S5cuKSYmJoqXl1eq3pM+8eE2c+bMSo4cOZTIyMh0txnP0BD59u1bxdPTUzEzM1Py5cunLFy4UImJiUlwTFLBKzo6WnFzc1NMTEyU0qVLK9u3b08xUCYXttNqz549un9EvkaojYuLUxo2bKiUL19eef/+vd5jkgq3y5YtU4yMjJSoqKgEx3/8+FE5fvy44uHhkegLl5YtWyqAotVqDaqvQ4cOip2dXarf19SpUxUTExMlNDRU99yzZ8+UwYMHK5kyZVJKlCih/PnnnwbdPwm3IiP5t395kYc85CEPecjjy4ehjP7vPzLxFaVm+LGiKGzatIkhQ4YQERGBu7s7o0ePTrDSbVRUFFZWVrRp04alS5emqpZNmzbRvn177ty5Q7FixRK9HhkZiZ+fH1qtFo1Gw927dzE1NSUmJobevXvz66+/UqNGDd0QWH2ePHlCgQIFWL58OV26dOHEiROJhh8nxc3NjeXLlxMeHk6hQoVS9d6+dPz4cerWrUvWrFk5fPgwdnZ26Wovnp+fHyqVivPnz1OlSpUUj3/w4AEjR45k1apVVKlSBV9fXxo0aABAcHAwNWrUICgoiOrVqxMTE8OSJUsYM2YM79+/Z/To0bi7uxu0QvT06dMZN24cT58+/WqrXccPP86dOzcRERFky5YtXe1t27aNNm3asGfPnmQXOwsNDcXZ2ZlChQrh5+dHvnz56NixI9euXeP06dPJXuPVq1ccPnwYjUbDrl27dNvx2Nra6uYjOzk56X0vy5Yt4/fff+fJkyepWtDt/fv32NjYUKZMGf76668Ew7TDw8MZNGgQu3btol69evj6+mJra5tse2fOnEGtVmNtbc3+/fvTtdK1EOlhZGTE24///q8F2TJ9+juVEWqBjFVPfC1Zbfv+y5XAu3PzgIx1XzJCLZCx6pFa9MtItUDGqiej1WJoXJU5tl9ZakJt/PYtHTp0wNbWltDQUKZNm5bol9rx48cTExPD5MmTU12PVqulfPnyulD75s0bDhw4wJAhQ7C1taVgwYL89NNPBAYG0rZtW/bs2cPBgwcB6NGjB/b29smGWvg037RatWpotdpUhdr495YlSxZGjhyZ6vf2OUVRGDVqFFZWVlSrVs2gfW4NFT9HuVKlSgYdb2lpycqVKzl16hTZs2enYcOGtG3blps3byY4zt/fn+rVq9OnTx9atmxJWFgYw4YNMzikqlQq3r59y/Hjx1P9nvSJD7Vdu3bl9evX+Pr6pqu9d+/eMWjQIJo2bZriCt5fzrmN/8LFkNWQc+TIQfPmzfHx8WHTpk0AeHh4ULlyZdauXUvjxo0xNzdHpVLh5eVFUFAQsbGxwKd7GBcXp/vMGypLlizMmDGDAwcOsGfPngSvxW8P9ddff/H48WOqV6+e4vZQMudWCCGEECJ9JNh+RYaG2i+3b9m/fz87duzAysoq0bEhISEsWLCAsWPHGrRf7Zc0Gg1Vq1bF09MTFxcXzM3Nady4MevWraNq1aqsWbOGBw8ecPHiRWbOnEmzZs1StTBVPLVazb59+2jUqJHBoRbA3NyciRMnsmLFihR75pKzdetWDh06xOzZs9m/f79B+9waSqvVolKpMDZO3V8XOzs7AgICWLt2LSdOnKBChQrMm/fp2+3Bgwfj4uJCjhw5CAwMZPny5RQuXDhV7VetWpX8+fMbtBdrSj5fKGrZsmX069ePSZMm8eDBgzS3OWvWLO7evcvMmTMNOv7zcOvo6Mjjx4/TvM1P8+bNWb16Nffv3yckJAQvLy+yZs3KpEmTqFmzJgUKFKB9+/bs37+fkiVLGrztz+datmyJSqViwIABerd8aty4MefPnzd4eygJt0IIIYQQaSdDkb8SQ0Lthw8fmDNnDh4eHpiYmDBhwgR69epFpkyZ9LapKApqtZo7d+4QEhJC5syZDarlxo0baLVatm3bxl9//QV86tVq0KABKpUKtVpNhQoVklzl9svhsoaYPXs2bm5uVK9encOHDxsUauPFxMRQvXp1cuTIQUBAQKpX33379i0VK1bExsaG3bt3A59WcG7SpAkhISFoNJo0D0uOiooif/78umHWafXq1SsmTpyIt7c3cXFx5MyZk/nz5/Pzzz+na7Xhjh07cv369XQFeH2rHz99+pRy5crRvHlzVq5cmeo2Hzx4QLly5fj9998NDrbxQkNDsbe3582bN9y9e5ciRYoYfG5Kn90PHz5w8uRJ3dD7wMBA4uLiMDU1pXv37qjVaho2bEjevHkNul5ISAi2trZ4eXkxePDgJI978uQJY8eOZdGiRZQtW5ZZs2Yl2Ystw5LFv0mGIuuXkeqRocj6ZaSfEWSseqQW/TJSLZCx6slotchQ5H9QSqFW+Wz7lqFDh+q2b+nfv3+SoRZg586d+Pn5MXPmzGRDbXR0NJs3b6Znz56UKVOGMmXK0KdPH8LCwjAyMmLfvn1ER0eza9cu3NzcqFix4lfbBgfgxIkTjBo1CmNjY9q2bZuqUAtgamqKj48PJ06cYP369am+/syZM7l3716CAJXcPrep4e/vj6Io6doDOC4ujq1bt7JmzRpMTEyAT8F77ty56e5RVqlUnDlzhqdPn6bp/KS29DE3N2fSpEmsWrUqTTWOGDGCbNmyMXbs2FSfa2NjQ9WqVcmUKRPNmjXjyZMnqW4jKZkzZ6ZevXp4eHhw4sQJoqKiGDZsGDExMRw4cIC2bduSL18+7OzsGDlyJAcPHkx2n9tKlSrRu3dvPDw8ePToUZLH5cuXj/nz53Pu3DmKFClC8+bNadasmd7toaTnVgghhBAi9STYplNKofby5cs0bdqUFi1aULx4cc6dO8fcuXOxsLBItt33798zaNAgGjVqRPPmzRO9dvDgQUaOHEmtWrXIly8f7dq14/DhwzRr1ozt27cTFRVFtWrVcHBwoEmTJskG6PSIn1NbrVo16tevz5EjR9LUjrOzM99//z3Dhg3j9evXBp93//59PD09cXV1pVy5cgle+xrhVqPRYG1tTdGiRVN9LsDJkyepXbs2v/76K05OTmzbtg2AxYsX8+7dOxwcHPj111/TPORXrVajKAr+/v6pPjelfWp79OhBlSpVcHNzM/ibMoDAwEBWr17NpEmTyJMnT6rrevfuHcHBwfTv31835/ZrhtvP5cmTh+HDh2NsbMyIESO4ffs2S5cupUyZMixZsgRnZ2fMzc1p0qQJM2bM4MKFC4nuxfjx4zE1NWX06NEpXq9y5cr4+fmxdetWrly5QuXKlRkwYADPnj1LcJyEWyGEEEKI1JFgmw7JhdqnT5/i7u5O5cqVCQ8PZ/v27Wg0GipXrmxQ276+vty6dYtZs2ahKArnz5/H29ubJk2aYG5ujrOzM0uXLsXKyoply5Zx584drly5wpw5c2jVqhU5cuTA398/zXMUDfHlQlFNmjThyJEjyfZwJcfb25vIyEimTZtm8DkjRowge/bsjBkzRu/r6Qm3iqKg0WjS1Ft7//59OnfuTO3atfnw4QOHDx9m48aNunm08cNlFy1axN69eylXrhxTpkzh3bt3qbpO8eLFsbKySvUc0ZRCLYCJiQk+Pj6cPHmSdevWGdRuXFwcrq6uVKlShR49eqSqpnjHjx/n3bt3dO7cOcGCUn9nuK1VqxZarZbixYvTrVs31q9fz6NHjzh79iwTJkxAURRGjx5N1apVKVSoED///DMrVqzg3r17WFhY4OHhwbJlywgODk7xekZGRnz//fdcunSJiRMnsmTJEqysrFi0aJFuUSuQcCuEEEIIkRoSbNMoqVAbExPDggULdIFz8uTJXLp0iVatWhk8/Pfhw4d4eHjQsGFDJk2aROHChbG1tdUN65w4cSLnzp3j4cOHrFu3jq5duybayic4OJinT5/+bcFW3+rHarWaN2/ecOLEiTS1Wbp0aQYNGsS0adO4fft2isefPHmSNWvWMHny5GR7BtMabm/cuMGtW7dSdQ/fvn3L5MmTKVeuHPv372fx4sWcOXOGevXqJTrWxMSE33//nfDwcH7//XfGjRtHhQoV2Lp1a6p6SNVqdaoWkDIk1MZr2LAhP/zwA0OHDuXVq1cptr1u3TpOnTqFr6+vbth1asWvQl25cuVEqyX/XeFWrVbj5+dHXFyc7jljY2NsbW0ZMmQI+/fv5+nTp2i1Wrp168bVq1fp3r07xYoVw9ramsuXL1O0aFH69u1r8M8ua9asDB8+nLCwMJo3b06vXr2oXr06hw4d0h0j4VYIIYQQwjASbNMgqVB78OBB3fYtLVq0SNX2Lc+fP2fHjh3069eP8uXL8/r1a7RaLdeuXaN79+74+/sTHR3NX3/9xaBBg6hatWqyq/RqNBpy5MiBvb39V3vf8ZLa0qdq1arky5cvXav0jhgxAnNzc4YOHZrscXFxcbi5uWFra0u3bt1SbDct4Vaj0WBiYqLbgzY5iqKwefNmKlasyPjx4+nduzfh4eH89ttvKQa8PHnyMHPmTEJCQqhYsSI//PADLi4uXLhwIcXrwqdQdv369UTbCemTmlAbb/r06URFRTF16tRkj3v16hXDhg2jbdu2Bt2zpGi1WlxcXHSf738i3KpUKqKiojh79mySx2TNmhUXFxc8PT05c+YMjx8/5s8//6RevXrs3buXu3fvcvLkSaytrRk3bhzHjh3j48ePKV47pe2hJNwKIYQQQqRMgm0q6Qu1N27c4IcffsDZ2Vm3fcuKFSuS3b7l48ePHD16lHHjxlGnTh0sLCxo3bo127dv58WLF/To0YOoqCgCAwOZMmUKDRs2JGvWrAbXqdVqadCgwVefW5vcPrXGxsa4uLikaeuUeDlz5sTLy4s///wz2fm6a9euJTAwMFU9g6kNt1qtFnt7+xRXpT1//jwNGzakXbt22NjYEBISgre3N7lz5zaornjly5dnz5497NmzhwcPHlCtWjV69+6dYpBr0KABxsbGKX6hkJZQC1CqVCkGDx7M9OnTuXXrVpLHeXl5ERUVxfTp0w1qV5+oqCiCgoIS9ZL/3eG2du3amJmZpepLGQsLC9q1a8fixYu5efMm165do2rVqty9e5c5c+bg5ORE3rx5adGiBbNnz+bSpUvJ9ubq2x5q9OjRvHr1SsKtEEIIIUQKJNimwpehNlOmTIwaNYqKFSty6tQp/vjjDwICAqhVq1aicxVF4dKlS/j6+tKiRQvy5s1LvXr1mDNnDkWKFGH+/Plcu3aNEiVKUKlSJRYsWGDwliNfevPmDQEBAelayVef5EJtvPSu0gvQqVMn7OzscHd3TzDnMN6rV68YPnw47dq10zvENzmGhtvY2NgU5yg/fvxYN3z00aNH7Nu3j927d1O+fPlU1fSlZs2aceHCBby9vVm/fj1WVlb4+vom2fuXJ08e7Ozskv1CIa2hNt7w4cPJmzdvkj3pt27dwtvbm8GDB1OyZMlUtf255Fah/jvDbebMmalfv366vpQpU6YMmzdvJiYmBldXVwIDAxkxYgSvX79myJAh2NjYUKxYMbp06cLatWt5+PBhojaMjY35+eefuXr1KkOGDMHb25vy5cuzdu1aqlevLuFWCCGEECIJEmwN9HmoPXDgALt27aJcuXLMnDmToUOHcvXqVX766acEgSEiIoK1a9fy66+/UrRoUWxsbBg6dChv3rxh1KhRnD59msePH7Np0yZ+//13AgMDOX78OD4+Ppiamqa51qNHj/Lhw4evOr/WkFALn4bFxsXFcfDgwTRfy9jYGB8fH86ePcuKFSsSve7p6cnTp09TtcjU5wwJt0FBQTx9+lRvwPrw4QOzZs3CysqKDRs2MHPmTC5cuECTJk3SVI8+mTNnZsCAAYSHh9OhQwcGDBhAlSpVdPsSf0mlUuHn56f3i4D0hlr4tA/y1KlT2bRpE4cPH070+pAhQ7CwsGD48OGpbvtzWq2W8uXLJ5ozHu/vDLcqlYpjx47x9u3bNLdRtmxZBgwYwLRp0yhUqBAjR47UTSPYt28fP/74I2fPnqVz584ULlyYKlWqMHDgQPbt25dgNfAcOXIwceJErly5Qp06dejcuTN16tQhNjZWwq0QQgghhB4SbA3weaj19PSkWbNmuu1brly5goeHB2ZmZrx69Yq9e/cyYMAAKleujKWlJZ07d+bChQv89NNPugVo/Pz8GD58ODVr1tQNo339+jVDhw7l+++/x8XFJV31ajQaLC0tqVChwtd4+waHWoASJUqkaZXeL9WuXZtOnToxcuRInj9/rnv+xo0bzJgxgyFDhqSrZzClcKvVasmZM2eiOcr79u2jSpUqDB48mI4dOxIeHo6bm9vftp1S/vz5WbhwIcHBwRQsWJCmTZvy3XffERYWluA4tVpNdHQ0586dS/D81wi18X7++Wfs7e1xc3NLEKAPHTrE5s2bmTp1aqr3MP6SRqNJ8QuZvyvcqtVq3r9/z7Fjx9LVzqhRo8iVKxfDhg3TPWdmZkaTJk3w9vbm/PnzPHz4kD/++IMaNWrw559/0qxZM8zNzWnQoAGTJk3i1KlTxMbGUrJkSTZt2sShQ4d020PNmTOHdevWSbgVQgghhPiMBNvPxMUp7Dh3nw6LT1B3qh8dFp9gzs4TuLiosLS0pGzZsjRu3Fi3fcsff/xBREQEkyZNon79+uTNm5fmzZuzZcsW7OzsWLdunW7LkOnTp9OoUSOyZ8+u99rTpk0jMjISb2/vdL8PrVaLSqVKV4iJl5pQG0+lUqVrAal4Xl5evH79mokTJ+qeGzJkCPny5UsQGtIquXCr0WgSzFG+evUqzZs3p1mzZhQuXJizZ8+yYMEC8ufPn+46DGFra8vBgwfZvHkzISEhVKpUicGDB+tCv4ODA2ZmZgm+UPiaoRY+9aT7+vpy/vx5li1bBnwasu3m5oaDgwM//fRTutq/ceMGN2/eNGgI/d8Rbm1sbChUqFC6P7u5cuXC09OT9evXJxmSCxYsyE8//cSKFSu4e/culy9fZubMmeTOnZtp06bh4OBAvnz5aNOmDQsWLMDS0pIzZ87otodq164dP/30E5cvX6Zx48Y8e/480b9dO87dJy7O8NW1hRBCCCG+ZUZKavYV+Q+Li1Nw33iWnRciMDaCOAXdn3E3TvFk1wxy5DDD1dWVPHny4Ofnx8GDB3n+/Dm5cuXC2dkZlUqFWq3GysoqVSHi9u3bWFtbM2DAAKZMmZKu9/Ho0SMKFSrEmjVr6NSpU5raCA4OpkaNGqxYsQJXV9dUhVqAbdu20aZNG27evJmuXlWAyZMnM378eEJDQ7l//z7Ozs788ccf6Q5Rn3v58iVNmjQhJCQEjUaDjY0NefPmZfr06fzyyy94eHgwZ84cihYtyowZM/j+++/THBLj721QUBDVq1dPUxtv375l5syZTJkyBTMzMyZPnky3bt1o2bIl79+/R6vVfvVQ+7lff/2VvXv3Eh4ezsaNG+nVqxenTp3Czs4uXe0uWrSIvn37EhUVZfDCW6GhoTg7O1OoUCH8/Py4c+dOuu5v586dCQ0NNWg/2uTExcXp7kdgYGCyK5h/6ePHj5w+fRqNRoNWq+XkyZPExMRQokQJ1Go1tWvX5vTp0yxdupQCBQrw7NlzinUYw7uClRL929WyqiU+7W0xNv56P3/x32ZkZMTbj//+rwXZMn36zGaEWiBj1RNfS1bbvv9yJfDu3DwgY92XjFALZKx6pBb9MlItkLHqyWi1GBpXJdj+nx3n7uO28VySr2cNXs/rS4e5d+8epqam1K5dG7VajUqlolatWumaE/vjjz9y+PBhwsLCyJkzZ5rbgU/7iP788888ePAg2VWZkxMfvrJnz06NGjVSFWoBnj17hoWFBQsXLuS3335LUw3x3r59S4UKFahUqRJ3797FzMyMgICArxrUIGG49fDwwN3dnfHjxzN37lzevn3LyJEjGThwYKpWptbnawTbePfv32f48OGsXbsWW1tbHB0dWbJkCZMnT2bw4MF/S6gFePDgAeXKlaNLly5s3LiRZs2asWrVqnS327ZtWx48eMDx48dTdd7n4XbmzJmoVKo039/Vq1fz66+/EhkZme7e+ICAABwdHVm+fDldu3ZNczsvXrzg8OHDaLVaNBoNly9fBqBChQq8f/+eh1mKkr9V0ttj+XawpZVtkTRfX/xvkWCrX0aqR4KtfhnpZwQZqx6pRb+MVAtkrHoyWi0SbFOpw+ITnL4Vjb6Re0pcLEZPblDnbSD29va60Pc1nD17lh49ejB+/HhatGiR7vYmTJhAaGgof/75Z5rb2LlzJxMmTKB8+fIsXbo0Te/1119/pXDhwnh5eaW5jnharVY39Hj16tXY2Niku019Xr9+Tf/+/QkNDSUuLo64uDiaN29O//79v9qQ48uXL9OpUyfWrl371eZAX7x4kenTpxMaGqp7rnPnzri5uX31UBtv+fLlzJ8/n8yZM7Njx45035/Y2FhUKhUdOnSgV69eqT7/+vXr9OzZEzMzM+7du5fm+xsZGUnTpk3x9PSkUaNGqT7/SyNHjuT06dNs27Yt3fOP40VGRnLq1CndI1PjIWQpVhEj48TbXhkbQa2Sedn4e+2vcm3x3yfBVr+MVI8EW/0y0s8IMlY9Uot+GakWyFj1ZLRaJNimUt2pftx/9i7J12OeR3J/Qbd/sCIhhEhZkd7LMc1dIOnX82QjYJjzP1iR+JZJsNUvI9UjwVa/jPQzgoxVj9SiX0aqBTJWPRmtFkPjatrHz/7HFDXPTsTzd0n22MY8e0TWrFmpUaMG9vb22NvbU6ZMmXT1iG3bto1JkyaxYsUKqlSpko7qP7l16xY//PADvr6+ODo6pvr8Cxcu0K9fP4oWLcrVq1fT1asYFBTE77///lV6Jr29vdm2bRsfPnxgwIABX3V+LXwa7rxixQrWrFlDjhw5iI6OplixYkRHRzN//nwqVar01a71d/TYAmzYsIHp06dTokQJXr58yYsXLzA3N8fNzY0mTZp89Z5bV1dXLl++THR0dJo/b59bvnw5K1aswN/fP10rTGs0GoYPH07RokVZuXIl5ubmqW5j+vTpHDp0iN27d3+V+7Z48WKWLVvGpk2bKF68eJrb+fjxIxcuXND11F66dIm4uDhiX0RiktMiyR7boubZ0lO+EEIIIcQ3QXps/09Kc2zf+S/AsVhWnj17xrFjx3j//j2FChXSLRilUn1aOdlQz58/x8rKisaNG7NmzZqv8A5g7ty5DBw4kOjo6FQPe/x89eMpU6bg5OSUrnmgHz58wNzcnLFjx6ZrBePLly9TuXJlJk+ezM2bN9m4cSPh4eHky5cvzW3GUxSFdevWMWzYMJ48ecLgwYMpXbo03bt3Jzw8nF9//VW3oFR6F0aK9zXn2Mb7fKGoSpUq0aVLFwIDA/Hy8mLr1q3UqVMHX19fatas+VWut3fvXt3q33PnzuXBgwdcvHgxXYHU2dkZMzMzdu3ala7a4u+vubk5xYoVw8/PL9Wfld27d9OiRQvCwsKwsrJKVz0Ab968oUKFCtja2rJjxw6Dz1MUhZCQEN3c2sOHD/PmzRssLCyoV68er1+/xt/fn9xVXMjRqH+S7cgcW5Ea0mOrX0aqR3ps9ctIPyPIWPVILfplpFogY9WT0WoxNK7Kdj//p0UVS1pW/RRMlbjYBH++uXSYcllfsmXLFp49e8bevXvRaDT88ssvhIaG8uuvv1KkSBFsbGxwd3dn9+7dvHz5MtnrTZo0idevX3+VOajxNBoNtWvXTleo3bt371eZP5w5c2bq16+frv1sFUVhwIABlChRAnd3dyZOnIiiKIwdOzbd9Z0+fZq6devSqVMnHBwcuHz5MpMmTeLo0aNUrlyZsmXLJrvPbUbx5erH8XvAXr9+nS1btuDn58fLly+pVasW3bp14+HDh+m63ocPHxg4cCANGzbk+++/x8fHh/DwcObNm5fmNt+8eUNAQIBB2/wYatGiRWneCqh+/fqYmpqmey/meNmzZ2fatGns3LkzxTbv37/PqlWr6Ny5M5aWllSpUoURI0bw8eNHxo4dS2BgIJ6engQEBHD06FHs7OyICj7A2ytHPzWgxAFgxKf/AFpWtaRFFcO/cBNCCCGE+FZJsP0/xsZG+LS3Je+VHWR79YCY55F8fHCFxzumUTryKCdPnNCFUBcXF5YvX06/fv0IDg4mMjKSDRs2UKdOHbZv306LFi3Imzcv9erVw8PDgxMnThATE6O7VlhYGL6+vowYMYIiRb5OT0pMTAwHDx7UBRtDpWWfWkOp1WqOHTvG27dv03T+3r172b9/PzNmzCBLlizkz5+fcePGsWjRIi5cuJCmNiMiIujSpQt2dna6Hq/NmzdTqlQpFEVBo9HoAlZy+9xmBPq29LG0tKRixYq6AOXs7ExwcDDz589n586dWFlZMXXqVN6/f5+ma86bN4/w8HB8fHwwMjKiSpUq/P7774wfP57Hjx+nqc2jR4/y4cOHVH92k1OmTJk073ObM2dOHBwcvspezPHat2+Po6Mj7u7uCf4tePnyJbt378bNzQ0bGxuKFi1Kly5dCA0N5ZdffuHAgQM8ffoUjUZD3bp16dWrF7///jsqlYrOnTtz/PhxHB3r8lozj8c7plE820dinkdiHhONbwdb2epHCCGEEP8zJNh+5vXrV1zcvYLvc93m/oJuRKwdhq15DJGPHtGsWTPGjBnDmDFjWL58Of7+/pQvX54JEyZgZmZGhw4dWLJkCTdv3iQsLIzZs2eTL18+Zs6cSZ06dbCwsKB169bMnTuXnj17YmlpyaBBg75a7YGBgbx8+TJV4eDvDLXwKdi+f/+eY8eOpfrc+Pm0Li4utGrVSvd83759sbKywt3d3eBhCQDv3r3Dy8uLcuXKsXv3bhYuXEhwcDANGzbUHXP16lXu37+f4B5m1HCb3D61arUajUajuz+mpqb07t2b8PBwunfvzqhRo7CxsWHHjh2puoeRkZFMmDCBnj17JpgT7uHhgZGREWPGjEnTe9FoNFhaWn7VOccANjY2aQ63arUaf3//BCE0PYyMjPD19eXSpUsMHTqUCRMm4OTkRN68eWnRogXbt2+ndu3abNiwgcjISIKDg5k6dSpqtZrHjx/z448/4uTkhLGxMceOHaNw4cIsXryYYcOGcfz4cRo0qI/x3WC8mxb9tMidnw+tbItIqBVCCCHE/wwJtp85dOgQMTEx2NvbA5AtWzbs7e25e/cutWrVokWLFrRr1458+fIRFhaGq6srU6ZMwdramo0bN6IoCkZGRlhZWdG7d2+2bt3KkydPOHnyJEOGDOHZs2e4u7tz6NAhXr16Rd++fVm/fj2RkZHprl2r1ZI7d25q1Khh0PF/d6iFT8GiUKFCaer5mjNnDtevX9f1DMbLnDkzs2bN4uDBg2zbti3FdhRFYdu2bdjY2DBmzBh69OhBeHg4PXv2xMQk4WI7Go2GTJkyUa9evQTPZ7Rwm1yoBVCpVNy9e5fw8PAEz5ubm+Pj48OFCxcoU6YMrVu3Rq1WExISYtB1x4wZg5GRER4eHgmez58/P+PHj2fx4sWcO3cu1e9Hq9WiUqn+lq2J0hpuVSoVz58/JygoKF3XVxSFK1euMHfuXCZMmECmTJmYNWsWM2fOJH/+/Pj6+hIWFsatW7dYunQpHTp00G2d9ObNG8aPH4+1tTWHDx9m5cqVnDx5km3btjFjxgxmz57NqVOnKFeuHK9fv6ZBgwa6/bQvXrzIq1ev0lW7EEIIIcS3RILtZ7RaLSVKlKBYsWIAVK9eXbdSsKenJ7NmzaJFixb88MMPHD58GC8vL0JDQ6levTo//vgj9erVIzg4OEGbpqam2NvbM3r0aDQaDWXKlKFy5cp07tyZ06dP89NPP1GwYEFsbW0ZMmQI+/fv582bN6muXaPR4OzsrPvFNjn/RKiFT71UKpUq1XMVIyMj8fDwoHfv3npXJG7atCnNmjVj0KBBvHuX9BZNFy9eRKVS0aZNG8qVK8fFixeZNWtWkivlarVa6tSpg5mZWaLXMkq4TSnUwv+fI5rUFwoVK1bkr7/+YteuXdy5c4eqVavSr18/oqKikrzuuXPnWLJkCRMmTNC7GFOfPn0oX758qnvSHz16xPnz57/qMOQvpSXc2tnZkStXrjTNs42MjGTdunV069aN4sWLU6FCBQYOHMizZ88YOHAg2bNn5+eff2br1q306dMHKyurBD9HRVHYsGED1tbWeHp64ubmRlhYGL/88gvDhg1jxowZzJkzB0tLSw4dOoSnpyfHjx9PcA9jYmI4cuRIqmsXQgghhPhWSbD9jEajQa1W637JdHBw4NixYwwZMoSsWbMybtw4NmzYoAu3u3btomzZsmzfvp0DBw4QHR1NzZo1+e2333j06FGi9hcsWMC1a9dYvXo1s2bN4uLFi0RERLBmzRpsbW1Zt24dTZo0wdzcHGdnZzw9PTlz5gyxsbHJ1v3y5UtOnjxp0OI7/1SojadSqTh79myq5l+OHj0aExMTJkyYkOQxM2fO5N69e8yaNSvRa1FRUfTt2xdbW1vu3bvHnj172LdvH9bW1km29/HjxxTnKP/b4daQUBtfZ+3atZMNZUZGRnz33XeEhIQwbdo01qxZg5WVFXPnzk00/FZRFNzd3bG2tqZ3795624vviTx8+DBbt241+D35+fkBn+at/51SG25NTU1p2LChQcH2zZs37N+/n8GDB1O1alUKFizIzz//zOnTp2nXrh179uwhOjpa92WYh4cHixcv1ttTHhQUhJOTEx07dqRGjRpcunQJT09PcuTIwZAhQ3ShtkePHgwePJhmzZqRLVu2RHOUCxUq9NUWvxJCCCGE+BZIsP0/9+/f5/LlywnCoZ2dHe/fvyc0NJRJkyaxcuVKzp07lyjcwqc5eefPn2f27Nls2bIFKysrvL29+fDhAwBPnjxh3Lhx9OjRA1tbW901ChUqRKdOnVi5ciX37t0jNDSU6dOnY2ZmxpQpU6hVqxYFChSgXbt2LFq0iBs3biSq/fDhw8TExKTY6/VPh1pAdz/9/f0NOv7s2bMsXbqUCRMmYGFhkeRx5cuXp3///kyePJkHDx4An8Lp7NmzsbKyYu3atUyfPp2LFy/SrFmzFK97+vRpXr58meKXA/9WuDU01MZTqVQcPHgwxTmimTNnZtCgQYSFhfHDDz/g6uqKra1tglC0ZcsWDh8+zKxZs5Ld0qdJkyY0b96cwYMHG7xgmFarpVKlShQuXNig49MjteFWpVJx4sSJREN6Y2NjOX36NFOmTMHZ2Rlzc3OaNGnC+vXrsbW1Zc2aNbotkGbOnEmzZs0S/F3r378/pUuXTtC7/fDhQ7p3706tWrV49uwZGo2Gbdu2UaZMGRRFSRBq+/Xrp/tiZ+bMmWi1WiwtLRN8cWNnZ/dVF78SQgghhMjoJNj+n/hfAj/vOSpTpoyu5+O3336jSpUquLq6Ympqqjfcmpqa0q9fP90eqMOHD6dSpUrs3r2bMWPGoCgKkyZNSrIGIyMjKlasiKurK7t27SI6OpqjR4/Sr18/Hjx4QN++fSlTpgxlypShZ8+ebN68mejoaDQaDSVKlKBs2bJJtv1vhFqAIkWKJFilNzmKouDm5kaFChXo1atXisePHTuWbNmyMWLECA4cOEDVqlVxd3enbdu2hIeHM3DgQDJnzmxQnRqNhty5cxu01+s/HW5TG2rh0xctz58/58yZMwZdo2DBgixZsoQzZ85gbm5Oo0aNaNWqFSEhIQwePJjvvvuOxo0bp9jO54ErJfGrUP+dw5C/lJpwq1ar+fjxI0eOHOH69essWrSItm3bkj9/fuzs7PD09MTMzIxp06YRGhrKvXv3WLVqFZ06dUo2qGfOnJmZM2fi5+fHli1bmD59OuXKlWP79u3MnTuXc+fO6b5g0Rdq79+/z5QpU3B1daV8+fKJRprAp9EmISEhREREfL2bJ4QQQgiRgUmw/T8ajYZq1aolmD/4+RxRExMTfHx8OHnyJOvWrSNTpkx6wy2AhYUFc+bM4dy5cxQvXpwWLVqwcOFCevXqpVsYxhCZMmXC0dGRCRMmEBAQQFRUFDt27KBZs2YcPnxYt5DV4sWLyZMnDwcPHtS7jcu/FWrjxd/DlOZebtq0iaNHj+Lj45Nsz2C8PHny4OrqyurVq2ncuDH58+cnKCiIxYsXU6BAgVTVGD9H+csFpZLyT4XbtIRagFq1aqVpjmj16tU5cuQIGzdu5OzZs1StWpW7d+8mOyz8c+XKlcPNzY0pU6Zw//79ZI8NCwvj3r17X3X/WkMYEm6joqI4f/48ZmZmdOzYkbJly9K3b18iIiLo378/R48eJTo6ml27duHm5kbFihVTtfhVs2bNqFatGh07dmTEiBF06dKF8PBw+vTpo5snry/UAowYMYLs2bMzZswY3RzlL+9hrVq1AKTXVgghhBD/MyTY8ukXSK1Wq7fnSK1Wc+7cOR4/fkzDhg354YcfGDZsGK9fv0423AJUqlSJAwcOUKlSJTJlyoS3tzdubm48ffo0TXXmzp2bli1bMmfOHK5cucKdO3fw9vbm3bt33Lx5ExcXF8zNzWncuDHe3t6cP3+egICAfzXUwqd7eOfOHa5du5bkMW/fvmXIkCG0bNnSoB6858+fM2TIEDw8PMiUKRNWVlb4+/tTrVq1VNf34sULTp48meqew7873KY11ML/nyOalmBjZGRE+/bt8ff3x8TEBGNjY5o1a8by5cuJi4tL8fwxY8ZgZmbG8OHDkz0uqVWo/wlfhtt79+7h7+/PiBEjqFmzJvnz56dDhw6YmJhgamrK9u3biYqKIiAggAkTJuDo6GjQly/6hIaG0qRJE86ePUtMTAyurq7Mnj2bvHnz6o5JKtSePHmSNWvWMHnyZPLkyaMb4v9lsM2bNy+2trYSbIUQQgjxP0OCLRASEsKjR4/0Bpv4XxjjF7mZPn06T548YerUqQAphtsdO3YQEhLC5s2bmTJlCsuXL8fKyooFCxake4/MYsWK6eahhoWFce7cOSZOnIiRkRFjx47F1tYWJycnsmbNyo8//pjmQJ1e8av0Jtd76O3tTUREBN7e3sm2FRsby7JlyyhXrhzz589n3Lhx7N69m/DwcNavX5+m+g4fPkxsbGyahsT+XeE2PaE2nlqt1jtH1FATJkzA3Nycc+fO4eLiQvfu3bGzsyMgICDZ83Lnzs3kyZNZu3YtJ0+eTPI4jUZD7dq1/5UvW+Li4vj48SOdOnXiypUrFC9eHBcXF91na9myZdy5c4eFCxcSHR2NnZ0duXPnTtc1o6OjcXV1pWrVqty8eZMdO3bg6urKkiVLePjwoe64pEJtXFwc7u7uVK1alW7dugGf7mHlypUpVKhQout9uZ+xEEIIIcR/mQRbPg3Xy5IlC3Xr1k30mqWlJRUrVtT1fJQqVYpBgwYxffp0bt26BSQdbt+9e8egQYNo2rQpLVu2ZOjQoYSHh9OyZUv69OlD9erVDV5UKbnaq1WrRsGCBalatSqDBg3ir7/+Yt++fWTPnp2iRYtSrFgx+vXrR/HixbG2tqZfv37s2LGD58+fp+vahsqZMycODg5J9h7dvXsXT09P3N3dsbKySrKdY8eOYWdnR48ePVCr1Vy9epXRo0fTqFEj2rZty7Bhw9IU4uK3eSpTpkyqz4WvH26/RqiFT1/KxM8RTa0TJ06wdu1aJk+ejI2NDX/88QfHjh0DwNHRkZ9++om7d+8meX63bt2wtbXFzc1Nby9vTExMiqtQf2137txh+fLldOzYkUKFClGtWjUWLFhArVq1MDMzw8rKipCQENatW0fXrl0pVqyYbs59/BdbaRETE8O8efOwsrJi5cqVeHp6EhISQsuWLRk/fjxZsmRh5MiRQNKhFuCPP/7g1KlT+Pr6YmJiohtpktRQbpVKRUREBJcvX05z7UIIIYQQ3woJtnzq9XByciJbtmx6X/+y52PEiBGYm5szdOhQ3TH6wu2sWbO4e/dugoV0ChUqxPLlyzl9+jQ5c+bExcWFNm3a6F3tOCVJDaE+ceIELVq00G0XEhQUxJMnT9i8eTMNGjTgr7/+onXr1lhYWFCnTh3GjRvH0aNH+fjxY6prMJRarcbf319vL/Xw4cPJmTMno0eP1nvunTt3+PHHH3FycsLY2JiAgADWrl1L0aJFdcdMnz6dqKgovLy8Ul2bvsV3UutrhduvFWrh03zXYsWKpXqebVxcHG5ublSrVo2uXbvqnq9bty6BgYEsX74cf39/ypcvz4QJE/Tuu2xiYoKvry+BgYGsXbs20euBgYG8fPnybw22z58/Z/v27fTt25fy5ctTokQJevTowfXr1+nRowf+/v5ER0dz7NgxTp48yfPnz1Gr1Qnm3BYoUICqVaumeescPz8/bG1t6d+/P61btyYsLIwhQ4aQJUsWAMzNzZk4cSIrVqwgMDAwyVD76tUrhg0bRrt27ahfvz7waZTG3bt3k7yHTk5OZMmSRbb9EUIIIcT/BuV/3Lt375Ts2bMrXl5euueCgoIUQAkKClIURVF27dqlAMrVq1d1x6xevVoBlEOHDiVo78OHD0qbNm2UTJkyKVmyZFEGDBiQ5LXj4uKUdevWKUWLFlUyZ86sjBgxQnnx4oXBtV+8eFEBlAMHDuieO378uJIzZ07FyclJefnyZZLn3rhxQ1m0aJHSrl07JW/evAqg5MiRQ2nevLkyaNAgBVDOnDljcC0pCQgIUADl5MmTCZ4/duyYAijLli1LdM7r16+VcePGKdmyZVMKFSqkrFy5UomNjU3yGqNHj1ayZMmi3Lhxw+C67t69qwDKhg0bDH8zyXjx4oVSp04dJVeuXMqpU6cSvf7lZ+tzs2fPVgBl8ODBSlxc3Fepp2vXroqNjU2qzlm5cqUCKEeOHEnymOfPnyvDhg1TMmfOrBQrVkzZsGGD3prbt2+vFC5cONHnesKECUru3LmVjx8/pqq25Lx//15ZsmSJAiiVK1dWjI2NFUApXbq00rNnT2XTpk1KVFRUkueHhIQoBQoUUKpUqaI8fvxY9/ygQYMUS0vLVP1Mrl27prRu3VoBlLp16yb7d+njx49KpUqVlMKFCyuAMmfOnETHjBw5UsmaNaty8+ZN3XNz5sxRMmXKpLx69Ur33JefL2dnZ6V58+YG1y0EIA95yEMe8pBHhnoY/H/Y3/j/4zfh0KFDCiQMGl/+cvjixQvF1NRUmTdvnu6Y2NhYxd7eXqlataoSExOToM0PHz4oxYsXVwBl3bp1Kdbw6tUrZezYsUrWrFkNCnDxZs6cqWTJkkV58+aNoiiGh9ovxcTEKKdPn1Y8PT0VZ2dnxdTUVAGUfPnyKb/88ouyevVq5cGDBwa3p8/Hjx+VnDlzKhMnTtQ9Fxsbq9SoUUOpUaNGgvcbFxenrF+/Xhf4hw8fblDgf/XqlVKkSBHlhx9+MLiulStXKkZGRgmCTHolF26TCrZ/R6hVFEVZt26dAhj883vx4oVSqFAhpUOHDgYdHx4errRq1UoBFEdHx0Tv69atW0rWrFmVESNGJHje0dFR+f777w17E0mIi4tTQkJClFmzZinNmzdXzMzMdP8Auri4KIsWLVKuX7+eqjb1hdu//vpLAZTQ0NAUz3/x4oUu8BctWlRZv359ij/PuLg4pV27dgqg/Prrr4lev3HjhpIlSxZlzJgxCZ5v1aqVUr9+/QTPffn58vT0VMzMzJQPHz6kWLsQiiLBVh7ykIc85JHxHoYy+r//yP5njR49moULFxIZGYmx8aeR2cHBwdSoUYOgoCCqV68OQL169bCwsGDbtm26c0+dOoWDgwOLFy/mt99+0z0fGBiIvb091apVIyQkhC1bttCiRYsUa7l9+zZDhw7lzz//pFatWsyePRsHB4ckj2/WrBkfPnxAq9V+1S19AgICcHR05JdffuHChQucO3cO+LSSrFqtRq1WU69evVRfo1WrVjx79ozDhw8DsHLlSrp27crRo0dxdHQEICgoCDc3NwICAmjdujXe3t6pmvv6xx9/0KlTJw4ePEiDBg1SPL5Tp05cvnyZoKCgVL2XlLx8+ZImTZoQEhKCRqPBzs4O0P/Z+prDj78UGRlJwYIFWb16NZ07d07x+JEjRzJr1iyuXr1K8eLFDb6ORqPB3d2dy5cv0717dyZNmkTBggWBT/sNT5s2jUuXLlG6dGlevnxJ3rx58fX1pU+fPql6Pw8ePMDPzw+NRoNWqyUiIoLMmTPj6OiIWq2maNGidO7cOcH9Ta3Q0FCcnZ0pVKgQfn5+ZM+eHXNzc6ZNm4abm5vec+Li4li9ejUjRozg+fPnDB06lKFDh5I9e/Zkr6V8Nqe2atWqREVFceXKFczMzHTHtG3blpMnT3L16lXd8zExMVhYWDB06FBGjRqlO/bLz1dQUBA1a9bkyJEjODk5pel+iP8tRkZGvP347/9akC3Tp38HM0ItkLHqyYi1ZLXt+y9XAu/OzQMyxn2BjPlzkloSyki1QMaqJ6PVYmhc/Z+fY6vVanFxcdGF2qSoVCoOHjyYYI6ovb09nf8fe2cdFsXe/v/XgqjYgmK3hAEiioqKAbt2HuPY3QUoBiKiGCgoZXd3t55dRTEwUEAswG5FwVYUmN8f/Ha/ILVLeDw+87ouruc8O5+4Z3bAec9dffvi7OzMu3fvgMQHXGXl0wsXLqRZLTk1KlSowI4dOwgICCAuLg4rKyv69u2baj/Q79+/c+bMGVXl2+xs6aPMNbazsyM4OJhXr16xbds26tevz549e2jbti16eno0bdqU2bNnc/HiRbUqPCet0vvhwwemTJlCjx49aNy4MS9fvmTw4MFYWlry7t075HI5+/bt07igU69evWjQoAF2dnbEx8enO1bIoPhOVlA35zYnRS38X46oOm1f7t+/z8KFC5k0aZJGohYSv9vQ0FD8/PzYs2cPhoaGLFiwgO/fvzN58mSKFSvGxIkTgcQq1HFxcWrl13769IkjR45gb29PzZo1KVOmDP369SMsLIzevXtz4sQJYmJiOHnyJFOmTKF69eoa2Z0aP7cC+vLlC40aNUrzGl64cIH69eszcOBAmjVrxp07d5gxY4ZGonbRokXs3buX169f4+HhoRrj7+/Pnj17mD9/fjKxe+XKFT58+JDhvWtubo6enp7Y9kdERERERETkj+d/WtjGxMRw5coVtR6wZTIZ79+/JygoKNnn7u7ufPnyhVmzZgGwdetWLl26hI+PD3nz5k23FVBaWFtbc+XKFVatWsWJEycwMjJi9uzZfP36VTUmMDCQL1++UKJEiRzvU2tgYECPHj1Ys2YNjx49Ijw8HG9vb/T09PD09MTKyopixYrRuXNnli5dSkRERKpvVpJW6Z07dy4fPnzAzc0NT09PjIyM2L9/P4sXLyYkJCTTYlMikeDr68v169dZvXp1umPTa/OUHWQkbnNa1CpRt+2Lo6MjBgYGyYqiaUKuXLkYM2YMkZGR9O/fnylTplCzZk38/f2ZP38+e/fu5dSpU8jlcsqXL0/VqlVTrBEXF0dgYCCzZs2iSZMmFC1alHbt2rF3717q16/P1q1befXqFcHBwXh6etKiRYsMBWRm+FncNmzYkNOnTycrsPb06VN69+5No0aNSEhIICAggG3btqn1UuBnUTtmzBgqV67MhAkT8PDw4NGjR8TFxWFvb4+VlRW9evVKNl8ul1O4cGHq1q2b7j7a2trY2tqKBaRERERERERE/nj+p4Wtv78/CQkJaokoS0tLChUqlOIBsUyZMkydOhU/Pz+uXbvG5MmT6dq1qyoMNqM+t2mhra3NkCFDiIyMZNSoUbi5uVGtWjV2796t8jQWLlyYsWPH5qio/RmJRIKRkRGjR49m3759vH37lgsXLjBhwgTevn2LnZ0dxsbGVKxYkSFDhrB9+3aioqIAMDY2pmzZsuzevRtvb286depE69atcXJyYsCAAapzzZUrV5ZsrFevHv3798fZ2Tnd3r1yuTzNNk/Zxc/i9saNGwBs3779l4ha+L+2L7du3UpzzMmTJ9m3bx8eHh7JPIOZQV9fn0WLFhESEkL58uVp3749GzZswNzcHHt7+2RVqAVBICIigiVLltC5c2eKFStGw4YNWbBgAfr6+vj4+BAeHs6jR49Ys2YNPXv2xMDAIEv2qUtScbtjxw4+ffrEpUuX+Pr1K7NmzcLY2BiFQsGaNWu4fPmy2qG+qYlaJUkrrq9evZrr16/j6+ub4v6Qy+XY2Nigra2d4X5SqZTLly//svZeIiIiIiIiIiL/Bv/TObajRo1CLpcTGRmZ7PPU8iABOnXqRExMjCpHVMm3b9+oVq0a2traPH36lDt37lCxYsVkY378+EGPHj04dOiQ2jm3SYmIiGDChAkcPnyYpk2b8uTJEx4/foyVlVW2i9q0zl8dPn36xJkzZ1AoFMjlcm7evAkkhkTKZDKuX7/OuXPniI+P59u3b8hkMry9valRo0a22Q/w4sULjIyMGDJkCN7e3qmOadOmDT9+/Pgl3ixlzm1oaCifP38G+CWiFuDLly/p5ojGxcVRu3ZtChcuzNmzZ7PVHkEQOHjwIBMmTODBgweqnrbjxo3j06dPyOVynjx5Qq5cubCyskImkyGVSrG0tMzUC46s3LtpcfPmTZo3b050dDRt2rQhNDSUFy9eYG9vz7Rp0yhUqJDaa6UnapVs3LiR/v37U7hwYTp37sy6deuSHVfmKPv5+TFy5Mhkx1I7/wcPHlC5cmX2799Px44dM3EFRP6XEHNsU+d3sud3tEXMsU3J7/g9ibYk53eyBX4ve343W8QcWzWQy+UahbwmzRFNSt68eZk0aRL37t2jc+fOKUQtZN5zq8TIyIhDhw5x7Ngx7t+/z/3798mXLx8bNmz4JZ5adSlQoABt27bF29ubGzdu8OzZMzZu3IipqSkbN27kxIkTfP78mbi4OPr168fcuXOpVq1atttRqlQpnJ2dWbx4MXfu3ElxPDY2VpWj/CtQem4LFy4MQOvWrX+JqAXIly8fjRs3TlPAr1q1ips3b6bqGcwqEokEmUyGj4+PqkAYgJ+fH5cuXeKvv/7i8OHDxMTEEBAQgIuLC1ZWVln22mcnNWrUYOnSpSQkJHDo0CGqVavGzZs38fDwyHZRC4kFzUqUKMHHjx9VKQ5J0SRHGaBSpUpUrlxZDEcWERERERER+aP5nxW2Dx8+5O7duxoJm6Q5oj9z8uRJcufOzdWrV5Pl4SUlq+IWoHDhwrx+/Vr1/2vXro23tzffv3/XeK1fQenSpenZsyf169dPZmO1atXYs2cPlpaWFC9enO7du7Nq1SoePHiQbXvb29tTrlw5xo8fn+LYxYsX+fLlS44UjkqL9evX8/z5cwACAgK4cuXKL9tbKpWmyBEFiI6OxsXFhQEDBlCnTp1s2Ss+Pp6goCDmzZuHra0tenp6tG/fnsjISMqUKaMap6WlRYcOHWjbtu1v9XImKa9fv2bYsGF0794dfX19IDG3tmjRohqto66oBQgPD+fNmzckJCRw/PjxFMcVCgUVKlTQqLCaTCYTC0iJiIiIiIiI/NH8zwpbhUKBlpYWzZs3V3uOkZER5cqVS+H5OH36NHv27GH69Oncu3ePJUuWpLlGVsStsvqxnp4elStX5t69e/Tq1QtHR0fMzMw4duyY2mv9Kk6ePIm5uTljx47F2NgYiUSCoaEhtWvXJjo6moCAAEaPHs2TJ08YMWIElStXpmrVqowcOZI9e/akmyObEXnz5mXhwoUcO3aMo0ePJjsml8vR19fH3Nw8i2eoHspCUcqWO1WrVk23WnJ2I5PJ+Pz5MxcvXkz2+cyZM4mNjWXu3LlZWv/BgwesXLmS7t27Y2BggKWlJbNnz0ZXV5d58+Zx48YNnj59Snx8PE2aNEFbW1tV2Oivv/7i/v37Wdo/u/n+/TteXl4YGhqya9cufH19OXfuHJAobG1tbXnz5o1aa2kiagVBwMHBgQoVKtCzZ0+mTp2aIjc2aY6yushkMsLDw3ny5Inac0RERERERERE/kv8zwpbuVxO3bp1NfK8SCQSpFJpMmEbHx+PnZ0dDRo0wMnJiWHDhjFjxgxVwaTUyIy4TdrSJ1++fLRo0YJixYqxdOlSgoODKV26NG3atKFNmzapht7+apRh2VKplCJFiiCXywkPD2fQoEF06NABhUKBjo4O1tbWuLm5ERgYyNu3b9m3bx+tWrXi1KlTdO3alWLFilGvXj2cnZ3x9/cnNjZWIzs6deqEjY0NDg4OyTzGcrlcrTZP2UHS6sfKHNdFixZl2AooO6lduzZFixZNdu/eunWLJUuW4OLiQsmSJTVaLzo6mt27dzNixAiqVKlC5cqVGTlyJE+ePGH06NEEBAQQHR3N4cOHsbe3p0aNGty6dYuXL18yadIkKlasiIGBAVu2bOHKlStUq1aNqVOn8vHjx+w+dY0QBIEjR45gamrKxIkT6dOnD5GRkaoXM5UqVaJt27aqaskZiVtNRC3A0aNHOXHiBAsXLsTT05PPnz8nC0d+9uwZt27d0jjSoHnz5kgkEjEcWUREREREROSP5X9S2CYkJHDy5MlM5VfKZDJu3rzJixcvAJJVLtXS0sLNzQ2JRIKLi0u662gibpOK2uXLl3Pv3r1ktpuZmXHy5En27NnD7du3MTU1Zfz48areur+Sjx8/qvqJBgUFsW3bNs6ePcv+/fuJi4tjzpw5yGQynj9/zu3bt5PNLVKkCJ06dWLx4sWqSrirVq2iSpUqrFy5EhsbG/T09GjdujULFy7k+vXrGSaTSyQSfHx8uHv3LosXLwYS2zwFBQX9kvzatFr65M+fX60+t9mF0juqDEdVegYrVqyYakGpn4mNjcXf35+pU6dSr149ihUrRrdu3fD396dVq1aqCtmBgYG4ublhbW1N7ty5k62hrEJtY2PDwoUL+eeffyhUqBB37txhypQpeHt7Y2RkxIYNG1RFpn4lt2/fpk2bNrRr146yZcsSEhLCkiVLKFasmGqMTCbj6tWryVoBpSVuNRW1379/x8HBAVtbWzp27KiquO7r60tERASQGAEBYGtrq9G56enpUbduXTEcWUREREREROSP5X9S2IaEhPD27dtM5VcqHygVCgXv3r1j2rRp9O/fn3r16gFQvHhxXF1dWbVqFaGhoemupY64TSpqjx49yoULF1INoZZIJPz111/cvn0bNzc3Vq5ciaGhIStXriQ+Pl7j89SUhIQE1q9fj5GREX5+fkydOpXw8HB69OjBrVu3WLZsGS4uLpQoUUIlejLyHpUvX55Bgwaxbds2Ve/SGTNmkJCQwLRp06hVqxYlS5akd+/erF+/nqdPn6a6jqmpKSNGjMDNzY3Xr1+r2jzltLDNqE9tRn1usxvlHu/fv+fIkSP8888/eHl5kSdPnhRjExISCA0NZeHChbRq1YqiRYtiY2OjetGwevVqVU/jJUuW0KlTJ4oUKZLu/nK5nMaNG6Orq0uHDh2wtbVl/Pjx6OjoMHPmTO7cuUPTpk0ZMGAADRo0SBE2nVPExMTg4OCAmZkZERER7Nu3D4VCgampaYqxypDeQoUKpStuNRW1AIsXL+bevXt4e3ur7pXx48dTtmxZJkyYACRew9q1aycT2+oilUpRKBT/yksDEREREREREZGc5n9S2CoUCvLly4eVlZXGcw0MDKhVqxYKhQI3Nze+fv2aIj9x9OjRGBkZYW9vn6FHMT1x+7OoLVCgAAqFIt0Q6rx58+Lk5ERERARt2rRh+PDh1KlTh9OnT2t8rupy4cIF6tevz8CBA2nWrBl37tzB1dWVfPnyqTyDlSpVYty4cUBild5GjRpp5D3S0tLC3NyciRMncuLECWJiYjh58iSDBg1ShTiXK1eOatWqMXbsWA4ePMiHDx9U82fOnKnypCsUCqpWrUqFChWy/VooyUjUKvmV4lYqlRIfH49cLsfBwQGpVJqs7dTTp09Zt24dvXr1olSpUpibmzNt2jQEQWDmzJkEBwfz6tUrtm3bxqBBgyhfvrzae3///j1ZFWqlJ/3evXssWrQIgAoVKrB9+3YCAgKIi4vDysqKvn378uzZs+y9EP+f+Ph4li9fjqGhIatWrWLWrFncvHmTTp06pfl9KUN6FQpFsj63ScVtZkTt69evmTlzJiNGjEgmqHV1dfH09OTw4cMcO3YMhUKR6RcyMpmMqKgowsLCMjVfREREREREROR35n9S2Mrlcpo2bZqqp0odZDIZx44dw8/PD2dnZ0qXLp3suI6ODt7e3pw+fZq9e/dmuF5q4jY1UasMoVbH01y6dGk2bNjAxYsXyZs3L82bN6dbt248fPgwU+ecGk+fPqV37940atSIhIQEAgIC2LZtWzLBc+jQIeRyeQrPYFpVetUlb9682NjY4O7uTlBQEFFRUezcuZMmTZpw5MgROnbsiJ6eHo0aNWLGjBncuXOH6dOns2rVKg4fPpyj3lp1Ra2SXyVuK1euTOXKlfH29ubBgwfMmjWLgwcPMnbsWExMTChXrhyDBw8mIiKCQYMGcfLkSWJiYjhx4gQTJ07E3Nw80znJgYGBKapQ16xZk5EjR+Lm5sarV69Un1tbW3PlyhVWrVrFiRMnMDIyYvbs2Xz9+jXL10CJv78/FhYWjBw5UlWxecqUKeTNmzfdefr6+tSpU0cVbfCzuI2KitJY1AJMmzYNbW1t3NzcUhzr0qULTZs2ZfTo0bx8+TLT927Dhg3R1dUV82xFRERERERE/kj+54Tt169fOXv2bJbavEilUqKioihZsiQODg6pjmnVqhVt27bF0dFRrQfypOL2r7/+wtbWNpmoBQgNDeXNmzcaPdjWr1+fCxcusGnTJi5cuICJiQnTpk1L0YtXE75+/cqsWbMwNjZGoVCwZs0aLl++jLW1dbJxsbGxjB8/nhYtWtCuXbtkx2QyGZ8+feLSpUuZtiMp+vr6dOvWjRUrVnD//n3u3r3LkiVLKFWqFH5+flhbWzN9+nR0dXV58uQJxsbGajd71gRNRa2SXyFuf/z4gaGhIRcuXKB48eI0btyYTp06ceTIEZo2bcrOnTuJiooiKCgId3d3bGxsMhR66qJQKNDX16d27drJPp85cyba2tpMmzYt2efa2toMGTKEyMhIRo0ahZubG9WqVWP37t1Z+t4ePHhAly5dsLGxIV++fFy+fJl169ZRqlQptdf4OaRXKW5fvHhB9erVNRa1wcHBrF69mpkzZ6paCiVF6d1++PAhuXLlolGjRmrbmpQ8efLQpEkTMc9WRERERERE5I/kf07Ynj9/ntjY2Cx57D5//gxAy5Yt033w9/Ly4unTp3h5eam1ro6ODvb29gB8+/aNMWPGJOvvKZfLMxVCraWlRZ8+fQgPD8fR0ZEFCxZgbGzM5s2bNcq3EwSBXbt2YWJiwqxZsxg9ejSRkZEMGjQIbW3tFON9fX15+PBhspxBJRYWFimq9GYnVapUYfjw4ezevZuoqCguX76Mk5MTenp6wP/1uB0wYABbtmzh5cuXWd4zs6JWSXaLW0EQuHXrFn5+frRv3x49PT1OnDgBJIqxJUuWcPfuXe7fv8+KFSvo1q1bqsIqO0irCrW+vj5ubm6sWbOG4ODgFPMKFy6Mp6cnN27cwNTUlG7dutG8eXNCQkI02v/Tp084OztTrVo1Ll26xObNm7lw4QKWlpYan0tqIb3Vq1enTZs2vHnzhtKlS9OjRw+11hIEATs7O6pVq8aIESPSHGdubk65cuVU55JZZDIZAQEBfPv2LdNriIiIiIiIiIj8jvzPCVu5XE6JEiWoWbNmpuZ///4dJycnihQpkix8MjWMjIyws7PD3d1drTzBwMBA2rZtS/369Wnfvj19+vRJlnMrl8tp0qRJpkOoCxQowOzZs7l9+zYNGzakb9++NGrUSC0BFRwcTNOmTenevTu1atXi5s2beHh4UKhQoVTHv3z5ktmzZzN69GiqV6+e4ri2tjY2Nja/xHukra2NpaUlU6dOpWHDhhQpUgQDAwO6dOlCcHAwffr0oVSpUpiZmTF+/HiOHTumenmhLlkVtUqyKm5fvHjB5s2b6d+/P2XLlqVGjRpMnDiRz58/069fPyDRA9irVy+GDx9OlSpVMmWnJrx7944rV66kGSUxYsQIqlevjp2dXZreWCMjIw4dOsSxY8d49eoVderUYfjw4em21YLEIlibNm3CyMgILy8vJk2aRHh4OL179870d/RzSK8yp3bDhg1MnTqVuLg4tfvc7t69m7Nnz+Lj44OOjk6a475//86bN2/IlSsX06dPz5TdkOht/vr1KxcuXMj0GiIiIiIiIiIivyP/c8JWoVAglUoz/VCr9HL169dPrRxRFxcX8uXLh5OTU7rjkubUHj9+nN27dyfLuVWGUGdHbmilSpXYtWsX/v7+fPnyhfr16zNgwACeP3+eYuzr168ZNmwYderU4c2bN5w4cYKDBw9iaGiY7h7Ozs7o6Ojg6uqa5hiZTMalS5d4//59ls9JHZQ5yj179iQmJobixYsTGhrKy5cv2bJlC3Xq1GHnzp20adOGokWL0qxZM+bMmcOlS5fSrSydXaJWiSbi9vPnzxw9epTx48djampK6dKl6du3LyEhIfTs2ZPjx48THR3NyZMnuX79OjVq1MDCwuKXhqNmVIU6V65ceHt7c/bsWXbt2pXuWq1ateL69et4e3uzc+dODA0N8fb2TtajWMmlS5do2LAh/fr1o3HjxqqK4fnz58/S+eTNmxdra2sUCkWKQlFz5sxRqxUQJIb0Ozo60r59+wx/ry9evMiXL18YNWoUK1eu5Pr165my3dTUFAMDAzEcWUREREREROSP439K2L5584bg4OBMi0Nl5dLhw4fTt29fPn/+nGFLksKFCzNnzhw2bdqU5tjUCkX9XFBqwYIFxMbGZik3+GeaNWvGtWvXWL58OUeOHMHIyAh3d3diY2MB2Lx5M4aGhuzatQtfX19CQ0Np0aJFhusGBQWxbt06Zs2apQr9TQ1lld6crNicFGWbp7///lvlSX/69CklSpSgV69erFu3jidPnnD79m28vLwoXLgw8+fPp0GDBhQrVowuXbqwbNky7t69q/IsZreoVZKWuI2Li+PSpUvMnj2bZs2aUbRoUdq2bcuuXbuwtLRUhVWHhoayYMECWrZsSf78+dm5cyfnzp3Dx8eHFi1a/NK2L3K5nCpVqlCxYsU0x8hkMjp06MDEiRP58uVLuuvp6Ogwbtw4IiMj6dWrF46OjpiZmXHs2DHVGBcXFxo0aMC3b984ffo0O3fuTHd/TVGG9Do4OKTIqU2rWvLPLFiwgBcvXrBw4cIM95PL5ejr6zNnzhwMDQ3VqrieGlpaWkilUrGAlIiIiIiIiMgfh0TIiQo6vyk7d+7k77//5unTp5QpUybNcdeuXaNOnTpcvXoVCwsL1efDhw9n586dREZGUrRoUYoXL87YsWOZOXNmuvvGx8dTt25dcufOTWBgYLI8w9REbVJ+/PhBjx492L9/P4UKFSI6OjrbxFNS3r17h5ubG4sWLaJw4cK8ffsWgFGjRjFz5ky1+2YKgkDjxo358OEDwcHB5MqVK93xlStXpm3btqqWLznJ/PnzcXNzIzo6mm/fvmFkZIRMJmPz5s1pzomLi+Py5cvI5XIUCgUXL14kLi6OChUqULp0aQIDAxk9ejSLFi1S63tJ695Kiw8fPtC8eXNu3bpF/fr1CQkJ4f379xQsWJDmzZsjk8mQyWQYGRmluf+XL18wMTHBwsKC/fv3c+rUKWxtbQkODsbc3DxDG7KKkZERtra2LFu2LN1xd+/epXr16kybNk2jcNvr169jb2+Pv78/5cuX5/HjxxQpUgQPD48087+zSnBwsOr7S6tQ1M2bN7GxsaFkyZKcPHky2e+QsoDZmDFj8PDwyHC/Bg0aUKFCBXbs2MGxY8do06YNe/bs4a+//ko2Tp37a926dQwePJg3b96k++JJ5H8TiUTC1x///mOBrk7i37PfwRb4vez5HW3Jaz76X7YEvoUsAX6P6wK/5/ck2pKc38kW+L3s+d1sUVeu/k95bOVyOdWqVUtX1KZFSEgIq1atUok8bW1tbG1t1fJ8aGtr4+vry+XLl5OJqIxELfxfteRChQrx4cMHDh8+rLHt6lCkSBGGDh1KgwYNVKK2Ro0ajBgxQm1RC7B9+3YuXLiAj49PhqIWEj1fv8p7pFAoVG2eChcuzNy5c9myZUu6+Ya5cuWiYcOGuLq6cvbsWaKjozl06BAVK1YkMDAQSAxPr1u3LpMnT0ahUGS5ME9UVBQ7duxgyJAhmJmZce3aNb59+8a5c+fo1q0b58+fJzo6mgMHDjBmzBiMjY3TFdWenp68evWKBQsWAP+XI/orwlEfPXpEZGSkWlESVatWxcHBgXnz5vHkyRO19zA1NWXUqFEYGBjw+PFjIDEaoFu3bjkiagVBUP0ey2SyNKsfp+e5nTJlCgULFkxRDTo1lDnKymvYunVr2rRpw4QJEzJ1r0mlUgRB4NSpUxrPFRERERERERH5XfmfEbaCICCXyzMVyqusXGpiYsLIkSNVn0ulUi5fvqxWjmiTJk3o3r07U6ZM4dOnT2qJWiXv37/n3bt31K5dW5Vzm53ExMRgb2+PmZkZz58/VwmgT58+YW5uzqhRo9QqhPPlyxcmTZpE586dsbW1VWtvqVRKeHi4RkImM6TW5mnAgAFYWFhgZ2endlhuwYIFefDgAWfOnMHR0ZEnT56wfv16qlevzsaNG5HJZBQtWhSZTIaHhwfXrl3LcO2vX78il8uZPHkyFhYWGBgY0KNHDwIDA+nYsSOHDh3i2bNn1K9fn507d5IrVy61XhpAomdw/vz5ODg4ULVqVeD/ckR/xQsFhUKBlpYWzZs3V2u8s7MzhQoVYsqUKWqNv379OjY2NnTr1g1LS0u2b98OwOHDhzE0NGTFihXp5kdrijKn1svLizp16vDu3bt0x6cmbi9cuMDWrVtxd3dPs/haUpQ5yknvXU0rrielXLlyGBsbi+HIIiIiIiIiIn8U/zPC9t69ezx69ChT+bV79uwhICAAb2/vZJVLZTKZRjmiHh4exMTEMHr0aLVFLaDyrOzatStZQamsEh8fz/LlyzE0NGT16tXMmjWLmzdvqkTIjh07WLBgAVu2bMHQ0BA/P790i2V5eHjw+vVrlTBWBxsbGyQSSY57D1Nr86StrY2Pjw9BQUFs2rRJrXV+zqktW7Ys/fv3Z9OmTTx//pzr168zd+5cdHR0mDlzJnXq1MHAwIC///6b1atX8+LFCwBu377N/PnzkUqlFC1alBYtWrBx40Zq1KjB+vXrefr0KTdv3sTX15d27dpRunTpTFVLnjx5MoUKFcLZ2TnZ5zKZjLNnz+Z42xe5XE7dunUpWrSoWuMLFSrE3Llz2bp1K+fPn09zXFRUFCNHjqR27dq8ePGCo0ePqsQswP79+2nTpg0jRoygTp062ZLH/XOhqFGjRhEUFER0dHS685KKWxsbG0aPHo2FhQUDBgxQa1+FQkHVqlWT5QgbGxszduxY5s6dm2rRt4yQyWRiASkRERERERGRP4r/GWErl8vR1tamWbNmGs1TVi5t164dLVu2THascuXKVK5cWW3PR4UKFejZsycbN27E2NhYLVGrtN3ExIRKlSolKyiVFXHr7++PhYUFI0eOpH379kRGRjJlypRkfXl1dHRwcHAgMjKS7t27Y29vT61atVS9UJPy+PFj5s+fz/jx46lcubLadujr62NhYZHj3qO02jxZW1vz999/M2XKFD5+/JjuGhkVipJIJJiamuLg4MDRo0eJiYnh9OnTjBgxgoiICIYNG0a7du0A6NOnD66urkgkEtzd3QkLC+P58+ds2rSJ/v37pxour2kroHPnzrFt2zbc3d0pWLBgsmMymSzH274oq1BrGiUxYMAA6tSpk6on/cePH/j6+mJkZMS2bdtYuHAhYWFhtG7dOtm44sWLs2HDBi5evEjevHlp3rw53bp14+HDh5k6l59F7ZgxYzQK6VWK24cPHxISEsLMmTNT9PRNC7lcnuoLuenTp6Orq5thxfXUkMlk3L9/n/v372s8V0RERERERETkd+R/RtgqFAoaNGiQ4gE/IxYuXMjz58/TrFwqlUrV9nwEBgaya9cucufOTenSpdUStcoQauWD7c/VkjUVtw8ePKBLly7Y2NiQL18+Ll++zLp16yhVqlSacwwMDFixYgXXrl2jePHitGrVivbt2xMREaEaM2nSJIoUKcLUqVM1sgf+z3uUk1V6lWHoqeWienh48O7dO+bOnZvmfE2rH8fExHD48GG2b9/Ojh07CAkJQSKRUK5cOSBReMXGxnLq1Cl27NjB9u3bCQgISLVtTVLUFbcJCQnY2dlRp04d+vfvn+K4qakpxYsXz9EXCqGhobx580bjKAktLS18fX25evUqGzZsUH1+/PhxVa/hv//+m8jISOzt7dPt/1q/fn0uXLjApk2buHDhAiYmJkybNo1Pnz6pbU9qohagfPnyGBkZqf37X65cOXLnzk2ePHlwdnZWK7xfmaOc2suBIkWKMGfOHDZu3MilS5fUPh+Apk2boq2tLXptRURERERERP4Y/ieEbXx8PKdOndL4AfvVq1e4u7tjZ2eHkZFRqmNkMplaOaLKnNratWuzbNkyDh48iL+/f4Y2pBZCnRlx++nTJ5ydnalWrRqXLl1i8+bNXLhwAUtLywznKjE3N+f06dPs2rWLsLAwatasycSJEzl27Bg7duxg3rx5Gr84gMRrGBUVRVhYmMZz1SGjNk/ly5dn8uTJeHl5ce/evRTH1RG1sbGxnD59mmnTplG/fn1VeyCFQoFMJmPv3r28efOG/fv3A4ki7cGDB6xYsYKKFSuyfPlyVfueNm3a4O3tTVhYWKpV4NQRt+vXr+fatWv4+fml6hlUtn3JSWEjl8vJly8fVlZWGs9t1KgRPXv2xMnJiWvXrtGuXTtat25NyZIlVS2qihcvrtZaWlpa9OnTh/DwcBwdHVmwYAHGxsZs3rw5w5cpaYlaJZoUP5s7dy5fvnzh8OHDavW5hYxzlAcPHkytWrU0yhOHxDZk9evXF/NsRURERERERP4Y/ieEbVBQEO/evdM4JHLRokUUKFAg3cqlzZs3RyKRpPuA+HOhqIEDB9KwYUPs7e2Ji4tL1waFQoG2tjZNmzZN9rm64jYhIYGNGzdiZGSEl5cXkyZNIjw8nN69e2eqbZBEIqFr167cvn2b6dOns3TpUjp06EDFihXp1auXxutBYpXevHnz5pjIOnnyJEC63/+kSZMwMDDA0dEx2edpiVpBEAgLC8PLy4vWrVujp6dH8+bNWb58OZUqVWLFihU8ePCAyMhIli5dSufOnVPkmVasWJEhQ4awfft2Xr9+zdWrV3F1deXHjx84OTlhZmZGqVKl6NOnDxs2bODZs2equemJ2w8fPuDk5ESvXr1o2LBhmucslUq5evWqqgp2dqNQKGjSpAl58uTJ1HxnZ2fevn1L3bp1uXnzJrt37+bUqVPUqlUrU+sVKFCA2bNnc/v2bRo2bEjfvn1p1KhRml7vjEQtqB/Se+/ePby9vZk8eTJSqVStPreQcY6ysuL6pUuX2LJlS7o2/IxUKuXkyZPZWlxLREREREREROTf4n9C2CoUCgoWLEi9evU0mnfs2DHmzJlD4cKF0xyjr69PnTp10hRlqVU/lkgk+Pj4cP36dVavXp2uDXK5nAYNGqRaPTUjcXvp0iWsrKzo378/jRs35vbt27i5uZE/f341zj59dHV1mTZtGjNmzCAuLo6HDx9Sv359zp49q/FaefPmpUmTJjnmPVIoFBm2ecqXLx8eHh7s379fJYR/FrXPnz9n/fr19OnTh1KlSmFmZsbUqVOJi4vD1dWVa9eu8fr1a7Zv386QIUOSFfvJCC0tLSwsLJg0aRJyuZyYmBjkcjn9+/fn9u3bDBw4kLJly1K9enXs7OxU33Vq4nbOnDl8/PiRefPmpbunTCZDEAS1Igc05du3b5w9ezZTxdri4+NZtWqV6qWRlpYWhw4dokuXLtnSw7lSpUrs2rULf39/vnz5Qv369enfv3+yIkzqiFqAZs2aqRXS6+joSIkSJZg4cSKQfisgJcoc5YyuYdOmTenatStTpkzhy5cvGZ2+CplMRkxMDMHBwWrPERERERERERH5XfmfELZyuZzmzZunm4uXFGVIn7GxMQMHDsxwfFo5oum19LG0tGTAgAFMmzaNmJiYVNdVhlCn52lMTdw+f/6cfv360aBBA1WI7M6dOzUSWurw/v17FixYQO/evblw4QK5cuWiSZMm9OjRQ9VPVF2kUikBAQHZXqX35xzl9OjRoweNGjXC3t4eHx8fxo0bR+fOnfn27Rs1atSgbNmyDBo0iNu3bzNgwIBkAnTSpEnUrl1b7YJAGaGrq4tUKmX+/PlcvXqV169fs2PHDho1asSBAwfo0KEDenp6tGnThqZNm1KhQgVkMhm7d+/G29ubKVOmqPJ50yIn276cO3eOb9++aRwlERAQQN26dRk2bBitWrXi1q1blC5dWq1+r5rSrFkzVVjz0aNHMTIywt3dna9fv6olaiExpLdevXrpXkOFQsH+/fvx8PAgX758qs8zErea5Ch7enry9u1b1q1bp8aZJ1K/fn0KFCgghiOLiIiIiIiI/BH88cL28+fPXLhwQaMH7CNHjgCJXhZtbe0Mx0ul0hQ5our0qZ07dy6xsbHMnDkz1XWvXr3Ku3fvMnywVYrbNm3a0LlzZypXrsyxY8dYuXIlV69eTRHGnF3Mnj2bT58+MW/ePKysrLh48SLr16/nzJkzGBsb4+rqyufPn9VaS1mlNzAwMFttVOYoq/P9x8XFMXDgQG7cuIGDgwMSiYR9+/Zx6NAhGjVqxI4dO1Qhw/PmzUMqlaKrq5ut9qZFsWLF6N69O6tWrVKFOPv5+WFgYMCyZcsICwvj06dPdO/enbx589K+fftU83N/JqfybBUKBSVKlMDU1FSt8Y8ePaJ79+40bdqU3LlzExgYyMaNG6latSqenp4cOHAgRwSYtrY2w4cPJzIykmHDhuHi4kLJkiVZuHAhfn5+6YpaJcrQ4tRCeuPi4rC3t6dRo0b8/fffKY6nJ26VOcoNGjTI0IaKFSsyceJEtdtWQeLfjWbNmokFpERERERERET+CP54YRsQEMCPHz/UDon8+PEjixYtAsDCwkKtOQ0bNkRXV1f14K2OqAUoVaoU06ZNY/Hixdy+fTvFcblcrlYItSAIHDx4kJCQEBISEvjx4wd+fn4MHTpULWGeGSIjI/H19cXJyYmyZcsCieG0/fv3JyIiAnt7e+bNm4eJiQnbtm3LUGSZmZnlSJXe9No8CYLAnTt3WLRoER06dEBfX58hQ4aozmX+/PlERkby4MEDVq1aRffu3SlWrFi22pcZJBIJVatWZeTIkezZs4c3b95w6dIlevTogSAIfPz4EQsLC8qXL8/AgQPZunUrr169SnWtnGr7kl4V6qR8/vyZ6dOnY2Jiwrlz59iwYQOBgYHJxFz37t1p3LgxDg4OGeakZ5YiRYqwcOFC+vXrx4cPH4DEXrjqFDSTyWRER0enGtK7YsUKbt26ha+vb5rXIi1xq1AoaNq0qdo5ylOmTKFIkSJqjU1q+7lz5zQKYRYRERERERER+R3544WtXC6nTJkyGBsbqzV+7ty5GfYz/Zm8efNibW2NXC5XW9Qqsbe3p2LFijg4OKQQfwqFgmbNmqUbQh0aGoqNjQ1du3alZs2aXL9+nU6dOtG/f/8s9bnNiAkTJlC6dGkmTJiQ4ljBggVxd3fn9u3bWFpa0qtXL6ytrbl69Wqa62lpaWFra5vt3iNljrKyWvOrV6/YsmULAwcOpHz58lSrVo0JEybw4cMHmjRpAsDw4cPJnz8/T548oWrVqtmS15mTaGtrY2FhQUhICFZWVtSvX598+fKprnnv3r0pWbIktWrVwtHRkePHj6uEjDJHNDtfKCirUKfnJRcEga1bt2JsbIyHhwfjx48nIiKCfv36pQjnlkgk+Pr6cuvWLVasWJFtdv5sz8SJE1m3bh2LFi3iyJEjPH36FHNzc0aNGpVugacGDRpQoECBFPdudHQ006dPZ9CgQdSpUyfd/X8Wt0+fPuXs2bMaRZrkz5+fcePGAYkF89RBKpXy/fv3TOXGi4iIiIiIiIj8TvzxwlbZbkUdcXL//n28vLxS7fuZETKZjDNnztCiRQu1RS1Anjx5WLBgASdOnODo0aOqzz9//sz58+fT9DRHRUUxcuRILCwsePHiBUePHuXw4cPUrFkzS31u1eHEiRMcOnQIT0/PdENxK1euzN69e1EoFLx//x5LS0sGDRrEy5cvUx0vk8kICgoiOjo6W+xU5ihXqlSJCRMmYGZmRsmSJenTpw9Xr16le/fuHD16lJiYGLp06cKRI0dwdHRk2bJlTJs2jaVLl3Lr1q1ssSWnWb58Obdv32bJkiXI5XLMzc05cuQIq1ev5sWLF2zevJnatWuzbds2WrduTdGiRWnevDlLliyhevXq2SpsT506hSAIaYqyK1eu0LhxY3r37k39+vW5desWc+bMSff3xcLCgkGDBuHi4pLtVZxTKxTVpk0bwsLCWLBgAVu2bMHQ0BA/Pz9+/PiRYr6Ojg5NmzZNcQ1nzJjBjx8/mDNnjlp2JBW3TZo04du3bxoX32rdujWQmHOrTrXjatWqUbp0aTEcWUREREREROQ/zx8tbF++fElYWJjaD4eOjo4YGBhkStgaGBgQGxtLpUqV1Ba1Sjp27IitrS0ODg58//4d+L8Q6p/FwY8fP/D19cXIyIht27axcOFCwsLCVA+0kLk+t+ry48cPHBwcaNKkCV27dlVrjq2tLcHBwSxevJgDBw5gZGSEh4cHsbGxycZJpVIEQeDUqVOZti8+Pp7Lly8zZ84c6tWrx/v379m8eTPbt2/HwsKCzZs38+LFC65fv87ChQtp3bo1a9euTdHSx87OjooVK2Jvb69Wruq/ydu3b5k+fTqDBw+mdu3aKVoBPX78mN69e7N+/XqePn3KrVu38PT0VHnWw8LC2Lt3L126dGHFihWp9vLVBLlcjomJiSpEXcmLFy8YOHAg9erV4+PHj5w6dYo9e/ZQuXJltdadM2cOcXFxzJgxI0v2JSW96se5c+fGwcGByMhIunfvjr29PbVq1eLEiRMp1vk5pPfmzZssXboUFxcXSpQoobY9SnH76tUrcuXKRcmSJTU6H+ULvLt372ZYcV05XpNevCIiIiIiIiIivy3CH8zmzZsFQHj58mWGYxUKhQAIW7duFa5evSoAwtWrV9Xa58KFC0KBAgUEHR0dYcKECZmyNSwsTNDS0hIWLFggCIIgjB8/XihTpoyQkJCgGnPs2DHBxMRE0NLSEoYPHy68fv063TW/f/8u/PXXX4KOjo5w8OBBtW1J7/x9fX0FiUQiBAcHq71eUt6+fSuMGzdO0NbWFqpUqSLs378/2TkaGRkJw4cPV3u9hIQEITIyUli2bJnw119/CUWKFBEAoUCBAoKxsbGQJ08eITQ0NNkeSfHz8xMAwdHRMcWYAwcOCIBG1y4jNL231GH06NFCoUKFUtznHz58EBo2bCgUKlRIuHTpUqpzv3//LixZskQABDMzM0FbW1sAhEqVKglDhw4Vdu7cKbx580ZtWxISEoQKFSoIY8eOVX327ds3Yd68eUKBAgUEfX19YdmyZcKPHz8yda6enp6Ctra2EBYWlupxTa5vQkKCMGHCBAEQFi1alOH44OBgoUmTJgIgtGvXTggPD1cdu3HjhgAIJ06cEBISEgSZTCZUrVpV+Pbtm/onl4Tq1asLefLkEczMzISoqCi15ynPv127doK+vr4QHR2d4ZxNmzYJgPDq1atM2SryZwGIP+KP+CP+iD/iz2/1o/a/YTn47+O/Tv/+/QUzM7MMx/348UOoWbOm0KhRIyEhIUGjh+MLFy4IBQsWFKytrYVu3boJdevWzbS9SQWKqampMGDAAEEQBCE8PFxo27atAAjNmjUTQkJC1F4zM+I2rfOPiooSihQpIgwbNkz9k0qDmzdvCi1atBAAQSqVCjdu3BAEIfEaVK5cOd25b968EXbs2CEMHTpUqFixogAI2traQsOGDQVXV1fh3Llzwvfv34WmTZsKHTp0SHOd9EStIAjZIlB+JruF7fXr15O9EPkZdcVtgQIFhLlz5wrv378XDhw4IIwdO1YwMTERAEEikQh16tQRpkyZIigUCuHr169p2hMZGSlA4suAhIQEYd++fULlypWFXLlyCXZ2dmoJrfSIjY0VDA0NBVtb21S/M3Wvr6aiNum8Xbt2CRUqVBB0dHQER0dH4d27d0JCQoJQunRpwdHRMcsvRKKiogSJRCLMmTNHMDAw0EjcKs//+PHjQoECBQR7e/sM57x48UKAxJd6IiL/9sOL+CP+iD/ij/gj/vz8oy6S//8P2R+HIAiULVuWHj16sHDhwnTHLl26lDFjxnDlyhXq1KnDtWvXqFOnDlevXk23MvLPhaJ27tzJkCFDiIqKQl9fX2Ob3759i6GhIa1bt2br1q2sWLGC8PBw/Pz8KFu2LAsWLOCvv/7SuJjRjx8/6NGjB4cOHWLPnj20b98+3fFpnf+oUaPYunUrkZGRFC9eXOPz+xlBEDhy5AgODg48ePCAkSNHUq9ePfr168e9e/dUIarfvn3j/PnzyOVy5HI5wcHBCIKAiYkJMpkMqVRKs2bNKFSokGrtT58+oaenx8KFCxk7dmyKvRctWpQi/Dg1bt68Sa1atXB3d2fixIlZPmd17y11EARBFWp848YNcufOneq4jx8/0qpVK27cuIFcLk+1yna7du348uVLijDwJ0+ecPLkSeRyOQqFgtevX6uKpclkMmQyGWZmZqqCT8uXL2fMmDGcO3eOadOmcfLkSVq2bIm3tzfVqlXL0vkqOXz4MO3bt2f//v107Ngx2TF1rq+QTvixunz9+pWFCxfi7u5OgQIFmDNnDgEBAVy/fp1Pnz5RpUoVjh8/nqnCYzt37uTvv//m6dOnvHv3DhsbG0qWLMnJkyczrMqd9Pz/+ecfXFxcCAsLw8TEJN15pqamWFpasnbtWo3tFfmzkEgkfP3x7z8W6Ook/u78DrbA72WPaEvqKG3Jaz76X7YkkW8hS4Df69qItiTnd7IFfi97fjdb1JWrf2yO7Z07d3j+/HmG+bXKyqUDBgzIsHJpUlKrfiyTyRAEAX9//0zZrK+vz8yZM9m2bRsAU6dOZcWKFcyYMYNbt27RpUuXTD0oZ0fObVhYGCtWrGD69OnZImoh8QGqXbt23Lhxg3nz5rFhwwbs7OyQSCSsXr0aDw8PWrRoQdGiRZFKpaxbtw4TExPWrl3LkydPuH37Nn5+fnTo0CGZqAU4e/Zsmm2e1BW1kJjzOHLkSGbNmpVmy5x/i4MHD3Ly5Em8vLzSFLVAipzby5cvpxgjk8k4f/58irYv5cqVY8CAAWzZsoUXL14QGhrK7Nmz0dbWxtXVldq1a1OyZEl69uzJmjVr2L17NwYGBjRq1IjHjx9z+PBhjh07lm2iFqBt27a0aNGCCRMmpMjTzojsELUAurq6TJs2jfDwcFq0aMHQoUMJCAggNDSUBw8e4O3tnelq2gqFgmrVqlGmTJl0+9xmhL29PeXKlWP8+PEZjpXJZCgUit8+n1xEREREREREJC3+WGErl8vJnTs31tbW6Y6bOXMmsbGxzJ07V+2102rpU65cOYyNjbNUiKVGjRqqB+LWrVsTHh6Os7NzutWH1SEr4lYQBOzs7KhatWqmhUB65MmTh27dujFjxgyKFCmCIAi4u7vj4uKCtrY2c+bMITQ0lJcvX7JlyxYGDBiQojDRz8jlcsqWLZuizZMmolbJzJkz0dHRwdnZOUvnmZ3ExsYyfvx4WrZsSdu2bTMcn5G4lclkGbZ90dLSwszMjAkTJnDs2DFiYmLw9/dn6NChREZGMmTIEE6ePMmLFy9o0KABc+bMoVGjRtneLkkikeDt7c3Dhw/x9fVVe152idqklC1blk2bNnHhwgXV3wEDAwONisf9bKNcLk/2Qiaz4jZv3rwsXLiQY8eOJau4nhpSqZQnT54QERGRKbtFRERERERERP5t/lhhq1AoaNiwIfnz509zzK1bt1iyZAkuLi5qVx/NqE+tVCrNVOuMR48e0b17d2xtbVVCoH379pQpU0bjtdIis+J2//79+Pv74+3tna5nUBPevXvHvn37GDVqFEZGRlSsWJGJEydSvHhxatWqhba2Nt+/fydPnjx06NABMzMzjQSSQqFAKpUmm5MZUQugp6eHm5sba9euTbcX76/Ex8eHR48eaeQZTE/cZqbtS548eWjWrBnNmjXj69evqs9btWrFq1ev6N69O/r6+lhZWeHi4kJAQICq6ndWqV69OqNHj2bWrFlpto9KSk6I2qRYWVlRr149JBIJ7969w9jYGFdXVz5//qzROvfu3ePhw4cpqqFnVtx26tQJGxubZBXXU6Np06bo6OiIbX9ERERERERE/rP8kcL2x48fnD59Ot0wZEEQsLe3p2LFitjZ2am1bkaiFhI9X/fv3+f+/ftqrfn582emT5+OiYkJ586dw93dnfj4eBo0aMDEiRNThIZmFU3F7bdv35gwYQKtW7emTZs2md73+/fvBAQE4OLiQoMGDdDX1+evv/7in3/+wdbWlt27d/PmzRsuXbrEokWLiI+PZ86cOVy7do0aNWowZcoUPn78qNZeqbV5yqyoVTJ8+HCqV6+OnZ3dvx6u+eLFC2bPns2YMWM0DvFNS9xKJBKkUqlG0QZ3796lY8eOtGjRAn19fUaNGkXBggU5ePAgd+/e5f79+yxfvpxy5cqxdOlSmjZtip6eHm3btsXHx4ebN29m6VrOmDGDPHnyMHXq1HTH5bSoBQgKCmL9+vU0a9aMYsWKYWdnx7x58zAxMWHbtm1qn6dCoUBbW5tmzZqlOJYZcSuRSPDx8eHu3bssXrw4zXH58+enYcOGYtsfERERERERkf8sf6SwvXTpEh8/fkzh9UjK4cOHkcvleHl5kSdPngzXVEfUAjRr1gxtbe0MHxAFQWDLli0YGxvj4eHB+PHjiYiIIH/+/OTOnZsVK1bw4sULFixYkKFtmqKJuPX29ubJkyd4eXlptIcgCNy4cQNvb2/atm2Lnp4eTZs2ZenSpZQvX57ly5dz//597t69y7Jly+jSpQtFixYFoH79+uTPnx8tLS3u3LnD1KlT8fPzw9DQkHXr1pGQkJDu3kqvk62tLZB1UQuQK1cufH19OX/+PDt27NB4fnYydepU8uTJg6ura6bmpyVupVIpoaGhGeYSf/jwgUmTJlG9enVCQkLYsWMHZ86c4datWzRr1gwdHR0AKlWqxNChQ9m5cydRUVEEBQUxbdo0YmNjmTJlCjVr1qRMmTL069ePjRs38vz5c43Oo2jRosyaNYt169YRFBSU6phfIWqVL8lq1KiBg4MDT58+ZdCgQdy+fRtLS0t69eqFtbV1mjYmRS6X06BBAwoWLJjq8cyIW1NTU0aMGMHMmTN5/fp1muOkUin+/v7ExcVluKaIiIiIiIiIyO/GHylsFQoFRYoUSbMY1Pfv3xk/fjxSqTTDCsGgvqgFKFy4MPXq1Us3pO/KlSs0atSIPn36UL9+fW7dusWcOXMoUKAAcrmchg0bYmZmhr29PfPmzePJkycZn7SGqCNuo6KimDNnDmPGjMmwqirA8+fP2bhxI3379qV06dKYmpri5OREbGwsLi4uBAUFERUVxc6dOxk6dCiVKlVKdZ3cuXPTrFkz5HI5+fLlw9XVlTt37tC8eXMGDRpEvXr1uHDhQpp2KBQKzMzMKFGiRLaIWiW2trZ07NiRSZMmZbsnXV2uXLnC+vXrmTVrlupFQGZITdwqXwT9XBlZSUJCAmvXrsXQ0JDFixczbdo0bt++Tffu3fny5Qvnz59PM0pCS0uLOnXqMGXKFBQKBdHR0fzzzz/06dOHsLAw+vfvryqWZG9vz5EjR9Ty0A8dOpSaNWum6kn/FaIWYMeOHZw/fx4fHx+aN2+Ojo4OcrmcypUrs3fvXhQKBe/fv6devXoMGjQozdDp+Ph4Tp06lWHBu8yI25kzZ6KlpYWLi0uaY2QyGR8+fODKlSsZriciIiIiIiIi8rvxRwpbuVyOjY0N2traqR738/NTu3KpJqJWiUwm4+TJk8THxyf7/MWLFwwcOJB69erx6dMnTp06xZ49e1RtbZQh1EqBMW3aNAoWLMiUKVPUOW2NyUjcLl68GF1dXaZPn57q/I8fP3L48GHs7OyoUaMGZcqUoX///ty8eZO+ffvyzz//EBMTg0KhYPLkydSpU0fVFiYjpFIp586dUwnI8uXLs23bNs6ePYsgCDRq1IjevXvz9OnTZPOSFt/JTlGrZMGCBbx69QpPT88sr6UpyiJepqamDB06NMvr/Sxunzx5Qs2aNVONNjh//jz16tVj8ODBSKVSwsPDmT59Ovny5QMgICCAHz9+pBslkZR8+fIhk8nw8PAgODiY169fs23bNqysrNi3bx/t2rVDT0+PJk2a4ObmRmBgYKqexFy5cuHj48OFCxfYvn276vNfJWq/fPnCxIkT6dSpE7a2thQoUAArK6tk19DW1pbg4GCWLFnCgQMHMDIywsPDI0VF56tXr/Lu3bsMhS1oLm6LFSvGzJkzWbVqFSEhIamOqVOnDoULFxbDkUVERERERET+k/xxwvbDhw9cunQpzYfDV69e4ebmxsiRI6lZs2a6a12/fl1jUQuJoiwmJobg4GAgsYLt/PnzMTIy4tChQyxbtoxr167RvHnzZPMuX77Mx48fVbYXKlQId3d3tm7dyvnz59XaW1PSE7eHDx9m9uzZKs9gXFwcFy5cwM3NDWtra/T09FT9RK2srNi+fTuvX7/m2rVreHh4IJPJMl3NWVml99y5c8k+b9y4MVeuXGHNmjUoFAqMjY1xc3NTCWBlm6fPnz9nu6gFqFq1Kg4ODsyfP5/Hjx9ny5rqsm3bNgIDA/Hx8SFXrlzZsubP4rZmzZrJ2r48fvyYnj170rhxYwDOnTvHli1bKFeuXLJ1FAoFZcqUUcuznxrFixenR48erF69mocPHxIeHo6vry/6+vosXLiQhg0boq+vT6dOnViyZAnh4eEqG21tbencuTOTJk1SFbHy8fHJcVEL4OHhwevXr5OlDKQW0psrVy5GjhxJZGQkAwcOZOrUqdSoUYMDBw6ozkMul1OwYEEsLS3V2ltTcTty5EhMTEzSzBPPlSsXNjY2YgEpERERERERkf8kf5ywPX36NPHx8WkKW2dnZ3R0dJg5c2aGa40ePVpjUQvQoEEDChQowD///MP+/fupXr0606ZNY/DgwURGRjJixIhUhYlcLk8RQq3sr2tnZ5dhbmlm+Vncnj59GkgUcdbW1ixevJhOnTqhr69Po0aN8PLyonjx4vj6+hIREcHDhw9ZvXo1f//9d7b1uK1evTqlSpVK1XukpaXFoEGDiIyMZPTo0cyePZtq1aqxc+dO/vnnH7S1tVm+fHm2i1olzs7OFC5cmMmTJ2fruunx+fNnJk2axF9//YWNjU22rp1U3B48eJAnT54QGhrKzJkzMTExwd/fn7Vr13L58mUaNWqU6hpyuTxFFerMIpFIMDIyYtSoUezbt4+3b98SGBiIo6MjMTExODg4YGJiQoUKFRg8eDDbtm1jypQpvH79mg0bNgCwefPmHBe1jx8/Zv78+YwfP54qVaqoPk8vpFdPTw9fX1+uX79OlSpV6NSpEy1atODmzZsoFApVKLO6/CxuY2Ji0hyro6ODt7c3AQEB7N69O9UxMpmMwMBAtQu1iYiIiIiIiIj8LkiEf7vEazYzbtw4Dh06xP3791M8ZF+7do26deuyaNEiRo8eneYa69evZ+DAgdSuXZuAgIBM9aRs2rQpYWFhxMTE0LJlS7y9vTOsYNu4cWNKlCjBnj17kn1+/vx5GjduzNq1axk4cKDGtqjLjx8/6Ny5M0ePHkUQBIoUKcK7d+/Q0dHBysoKmUyGVCqlbt262eYxTI9+/foRFham8nynRWRkJI6Ojhw8eJB8+fLx5cuXHBO1SpT3yNmzZ1XeTHW4du0aderU4erVq1hYWKg9b/r06Xh4eHDr1i1V6Hp2o4wWuHTpEgUKFOD79+84ODgwdepUChUqlOa8ly9fUqpUKTZv3kzv3r1zxLakfPr0iYCAAORyOXK5nJs3bwKJXt83b94gCAIODg4aFzzTlB49enDmzBkiIiKSFXuKi4ujWLFiTJgwId2cVkEQOHLkCA4ODqoq6nPmzMlU6sHNmzexsbGhUKFC3L17N937q0OHDoSGhnLnzp0UERWRkZEYGRlx+PBhtfoji/x5SCQSvv749x8LdHUS/3b/DrbA72WPaEvqKG3Ja572892v5FvIEuD3ujaiLcn5nWyB38ue380WdeXqH+exVeZX/ixolPmJ1atXZ/jw4WnODwwMVIlePz8/jUXt27dvGTNmDGfPnuXdu3fs3r2bY8eOZShqP3z4wMWLF1P1NDdq1IgePXrg5OTEhw8fNLInI758+cKJEydwdHTE0tKSI0eOqG4eMzMzjhw5QnR0NGfOnGHatGk0aNDgl4haSPQehYSEpFvJFcDQ0JADBw4wYsQIVUhyTEwMUVFROWZbv379qFu3bo560pU8evQIT09Pxo8fn2OiFiAiIkL1358/f2br1q3MmzcvXVELcPLkSQC182uzSoECBWjTpg3e3t7cuHGD58+fs2HDBvT09FT37qJFi7C1tcXd3Z2goKAU+e5Z5ezZs+zYsQN3d/cUFYxz5cpF8+bNM8xVlUgktGvXjhs3bjBw4EASEhKYN28eS5Ys0bgysdJz+/btW4B0PbcLFy7kxYsXLFy4MMWxqlWrUqFCBTHPVkREREREROQ/xx8lbJ8+fcqdO3dSfcDeuXMn586dSzc/UVkoytjYGEBVGEcdfvz4waJFizA0NGTTpk1MmDABQRAoUKCAWl5DZQh1WuJg/vz5fPjwgblz56ptU2rEx8dz5coV3N3dsbGxoWjRorRq1YqtW7dSq1YtOnbsqLo+Fy5cID4+PlMe6+xA2a5HKZzSY9GiRSxfvhwAR0dH9u7di6GhIQsXLuT79+/ZbpuWlha+vr5cu3aN9evXZ/v6SZk0aRJFixbFyckpR9Z/9eoVQ4YMwdLSkk+fPtG7d29VuLeyFVB6yOVyTE1NKVGiRI7YlxElS5bk+vXrhIeH07p1awC6dOmCrq4uc+bMwdLSEgMDA7p168bKlSvV7jGdFvHx8djZ2VG3bl369euX6hhNQnrz5MlD4cKFKVWqFF26dGHs2LGYm5trnOtao0YNVqxYAcCIESPSzLk1NDTEzs4Od3f3FMXXMtPPWERERERERETkd+CPErYKhQKJRKISREqUlUs7duyYpnBMWv3Yz89Po33lcjnm5ubY2dnRtWtXIiMj8fDwoHTp0mo/nCoUCipWrJgsVy8p5cuXZ/LkyXh7e3P37l2N7Lt//z4rVqyga9euFC9enHr16jF37lzy58+Ph4cHN2/e5NmzZ8ycOZPjx4+rHtabNGmSYZ/bnKR06dLUqFEjw2uorH5sZWVF0aJFmTdvHpGRkfTt25dJkyZRs2ZNDh8+rHYYg7o0bNiQXr165YgnXUlAQAA7d+5k3rx5afY2zSyxsbF4enpiaGjI3r17WbRoESEhIYwZM4b4+HgqVKiQrM9tagiCgEKhUKuSb07wc/VjNzc3AEJCQjhw4ADR0dEEBAQwevRonj17xqhRo6hSpQpVqlRh+PDh7N69m+joaI32XL9+PcHBwfj5+aVZ5VsqlRIXF0dAQIBaa8rlclq2bMmaNWsICgqiaNGiyGQyOnXqpNHvu/Lvx9u3b9MtKDVt2jQKFCiQatizTCbj1q1bGvcVFhERERERERH5N/mjhK1cLsfCwgJ9ff1kn3t6evLq1atklUuT8nNLH3U9tXfv3qVjx460aNECfX19rl69ysqVKzEwMNDY86FO8Z2JEydSokQJHB0d010rOjqa3bt3M3z4cCpXrkyVKlUYPXo0z58/Z+zYsQQEBPD27VsOHTqkCs+WSCRMnDgRfX19VR7v3Llz0+1z+ytQXsO0RGnSlj4SiUTV5klfX5/FixcTEhJC+fLlad++Pa1bt+b27dvZat/8+fP59OkTs2fPztZ14f88g/Xq1aNPnz7Ztq4gCBw6dIiaNWvi5ORE//79VYW4cuXKRd26dSlcuDDt27dP1uc2Ne7cucOzZ89+WRhyUlJr6aMUmuHh4axbt47cuXNjbW2Nm5sbFy5c4O3bt+zfv5/WrVtz+vRpunXrRrFixbC0tGTq1Kn4+/unaMOTlPfv3zN16lR69+6NlZVVmuMMDQ0pX768Wr//L1++JCwsTPVywMLCgoCAALZv3861a9eoUaMGU6ZM0aig04oVK9Ktlly4cGHmzp3Lli1bUvSEVr4YFKsji4iIiIiIiPyX+GOErdJz9PMD9pMnT5g/fz4ODg5UrVo1xbzM9Kn98OEDkyZNonr16oSEhLBjxw7OnDlD7dq1k42TSqWEhoby6tWrdNdThlBn5PXKly8fnp6eHDhwINlD57dv3zh16hROTk5YWlpSrFgxunXrxpkzZ2jTpg379+/n7du3XLhwgZkzZ2JtbU3u3LmTrX3mzBl2797N/PnzVcI+oz63vwJlf9XIyMgUx5KKWmdnZy5dupTi+zc1NUUul7N//34iIyMxNTXF3t4+3RxETShbtixTpkzBx8cnVRuzwtq1awkJCcHX11ft/r8ZcevWLVq1akWHDh2oWLEioaGhLFq0KNnLIGWOaEBAQLJWQKmJW4VCQe7cuWnSpEm22KcuGfWpbdOmDVOnTuX9+/fJPi9cuDAdO3Zk8eLFhIeH8+jRI1avXo2hoSGrV69OFp6/YMECQkNDk+VQz549m0+fPjFv3rx07ZNIJMhkMrXEoTLUPmmkiUQi4e+//+bOnTtMnToVPz8/DA0NWbdunVo53VWqVMmwFdCAAQOwsLBIkSderFgxateuLQpbERERERERkf8Uf4ywDQsL4/Xr1ynE4eTJkylUqBDOzs4p5mgqahMSEli7di2GhoYsXrwYFxcX7ty5Q/fu3VP1tCpF1qlTp9JdVxlCrU4bl+7du9O4cWNGjBjB/PnzadmyJXp6etja2rJmzRoMDQ1Zs2YNjx494s6dOyxevJiOHTtSuHDhNNdUegbr169Pr169kh37t8Vt06ZNyZUrVwrPV1JR6+HhQUBAQJptniQSCR07duTWrVvMmTNHdZ2WLVumcZGe1HB0dKRUqVIZetI14f379zg7O9OnTx8aNGiQ5fWio6MZN24cZmZm3Lt3jwMHDvDPP/9Qo0aNVMfLZDIuXrwIkK64lcvlNGzYkPz582fZRnXJSNQCjB07ls+fP2foSS9fvjyDBg1i69atvHz5kuDgYNzc3BAEARcXF8zNzSlVqhS9evVi3rx5+Pr6MmXKFMqWLZuhnVKplJs3b2YY0qtQKDAzM0s1Rzlfvny4uroSHh6OjY0NgwYNol69eim8rKmRUZ9bbW1tfHx8CAoKYtOmTcmOKUX5H1Y0X0REREREROQP5o8RtnK5nLx58ybrs3nu3Dm2bduWauVSTUXt+fPnqVevHoMHD0YqlRIeHo6Li0uKdhlJKVWqFDVq1MgwHFEul1O7dm2KFSuW5pgnT56wdu1aevXqxY0bN7h37x4uLi5IJBLc3NwICQnh5cuXbN26lYEDB1K+fPl090zKmjVrCA0NTdMz+G+K2wIFCmBlZZXMe/SzqJVIJMjlcipVqpRmjjIkFumZPHkyERERdOjQgVGjRmFhYYG/v3+WbNTV1cXT05ODBw/yzz//ZGktJbNmzeLz588ZegYzIi4ujqVLl2JoaMj69etxd3fn5s2bdOjQId2wd5lMRlxcHGfOnEnW5zapuP3x4wenT5/+pWHI6ohaAAMDA5ycnFS9ltVBS0sLc3NzHB0dOXHiBDExMZw8eVLVf9rJyYkfP36wadMmxowZw4EDB1J4hJOiTkivIAiqNIT0KFeuHFu3buXs2bMIgkCjRo3o3bt3iuJPP5ORuLW2tubvv/9OEeoslUp58eKFqpWSiIiIiIiIiMjvzh8jbBUKBdbW1uTNmxdI9K7a2dlRp04d+vfvn2ysJqL28ePH9OzZU9Wr9Ny5c2zZsoVy5cqpZVdGno+0iu+8f/+e/fv3M2bMGIyNjSlfvjxDhgzh7t27jBw5kjZt2lCgQAG2bNmCo6MjtWrVylS46rt373B2dqZfv37Ur18/zXH/priVyWScOnWKuLi4VEUtkGoYelqUKlWKtWvXcvnyZQoUKICNjQ1dunTJUrXcbt26YW1tjYODAz9+/Mj0OpCYH+rr68vUqVMpU6ZMptc5efIktWvXZsyYMXTq1ImIiAgmTpxInjx5MpxbtWpVypcvrxJlqYnby5cvq3rf/grUFbVKJkyYQOnSpZkwYUKm9subNy82NjbMnTtX5fkdP348zZs35+jRo3Tq1Al9fX0aNmyIq6srZ8+eTfbdFy9ePMPqxsocZXWvYePGjbly5Qpr1qxBoVBgbGyMm5ubqs1VamQkbj08PHj37l2yiuuNGzcmT548YjiyiIiIiIiIyH+GP0LYxsbGcubMmWQPh+vXr+fatWspKpdqImpXrFiBiYkJ/v7+KiGU1COsDsoc0bS8RsoQ6qZNm3L27FmmT59Ow4YN0dfXp3Pnzhw7dozmzZuza9cu3rx5w5UrV5g7dy5r164lLi6OGTNmaGTPz7i5ufH161fc3d0zHPtviVupVKrKa05N1Kqbo/wzlpaWnD9/ni1btnDp0iWqV6+Os7Mznz590thGiUSCr68vt2/fVrUdyiwTJkygbNmyjB8/PlPz79+/z19//YVUKqVQoUJcvnyZNWvWULJkSbXXUOaIJo02+Fncrl+/niJFilCnTp1M2akJmopaSPSkL1iwgMOHD3P8+PFM7/3jxw8cHBxo0qQJCxYsYMWKFdy/f5979+6xZMkSypQpw6JFi2jSpAl6enq0b98eX19fbt26hVQqTffFljJH2draWm17lK2YlAW/Zs+eTbVq1di5c2ea+6QnbpUV1728vLh37x6QeO2sra3Ftj8iIiIiIiIi/xn+CGEbGBjI169fVR67Dx8+4OTkRK9evWjYsGGycRmJWkEQOHHiBJBYvGfcuHFEREQwcODATHlEmzRpgo6OTooHREEQuHnzJtOnT0dLS4tu3brRpEkTFi9eTJkyZVi6dCn37t3j3r17LF++nK5du6Knp6eaX6JECaZPn86yZcsyHS54584dFi1ahLOzM6VLl1Zrzr8hbi0tLdHV1cXb2zuFqIXEUG51c5R/RiKR0KtXL8LDw5k0aRJeXl4YGRmxceNGtYr0JKV27doMGTIEV1dX3r59q7EtkJjPeuTIERYsWJBumHtqfPz4EScnJ6pVq8aVK1fYunUr586do27dupmyRSqVcuvWLZ49e6b6LKm4XbduHebm5mhra2dqfXXJjKhV0qVLF5o2bZolT/qyZcu4c+cOvr6+ye67ypUrM3z4cHbt2kVUVBSXL19m6tSpfP78mUmTJlGjRg3Wrl3LixcvmD9/Pi9evEixdlZylAsVKqRq12Vubs7ff//N0KFD0xyfnridNGkSBgYGyfLEpVIpZ86cyZE+0CIiIiIiIiIi2c0fIWzlcjnFihWjVq1aAMyZM4ePHz8my09UR9RevXoVa2trpk6dCsDu3buZN28ehQoVyrRtSXNEX7x4waZNm+jXrx9lypShZs2aHDx4kMKFC+Ps7MyVK1eIiopi165dDBs2jMqVK6e79rhx46hUqRIODg6ZKvIyYcIEypUrh4ODg0bzfrW4XbZsGV+/fqVs2bIpRC0ker1Sa/OkCfnz58fNzY07d+5gbW1N//79sbKyUhVQUpfZs2cTHx+Pq6urxjYoPYNNmzblr7/+UnteQkICGzZswMjICB8fH5ycnLhz5w49e/ZMN482I5Q5osqqvUoKFizIzp07iY+P5+LFi+n2uc0qWRG1kPjiwsfHh/DwcJYtW6bx/m/evMHV1ZUhQ4Zgbm6e5jhtbW0sLS1xcnLi1KlTxMTEcPz4cfr27YtEIsHJyYnSpUtjamqKg4MDR48eJSYmhtOnT2c5lNvQ0FBVDOzdu3dAYo7269evU4xNS9zmy5cPDw8P9u/fr/q+ZTIZnz9/1vh3QERERERERETk3+CPEba2trZoaWkRGRmJt7c3U6ZMUeXBZiRqX716xZAhQ7C0tOTdu3csXboUQO082rT49OkTR44c4cePHxw6dIjSpUvTr18/rl+/Tu/evTl06BB58+ZlypQpODk5UbduXY28X7lz58bLywu5XK6xuDx69ChHjx5lwYIFqrxkTfhV4laZU2tra8vLly/5/PlzsuMJCQmp5ihnlgoVKqjaN33//h0rKyv69euXzGuZHgYGBipPelhYmEZ7L126lIiICHx8fNQWpIGBgTRo0IABAwbQtGlTwsPDmTFjRrZUKS5evDi1a9dONRz12rVrAFSvXj3dPrdZIauiVom5uTlDhw7F1dU11bY36eHq6kpCQoLGfYrz5ctHy5Yt8fHxwcbGBltbW7Zu3YqlpSW7d++mbdu2FC9enI8fP/L48WMuXryY5QrdMpmM7du3A4kvIwwNDVm4cGEKj2ta4rZHjx40atQIe3t74uLiMDc3R19fXwxHFhEREREREflP8J8XtjExMQQFBamEzc+tV9ITtbGxsXh6emJoaMjevXtZtGgRISEh6RZRSo+4uDguXrzIrFmzaNKkCUWLFqVdu3bcu3ePhIQEZsyYwatXrwgJCcHT05MCBQrw9evXLImydu3a0aJFC8aPH09sbKxac75//64qgtO5c+dM753T4jZpoaglS5aoqvQm5caNG7x+/TrbK/M2adKEoKAgVq5cyfHjxzEyMmLOnDl8/fo1w7ljx46lSpUq2Nvbq+1Jj4qKwtXVlaFDh6brGVTy9OlT+vTpQ8OGDYmLiyMgIIDt27drVA1bHdLKEZXL5VSsWBF/f/90+9xmluwStUpmz56NIAhMnz5d7TlhYWEsX74cV1dXDAwMMr23VCrl4sWLdOnShbVr1/L48WPu3LlDixYt0NHRYevWrVhZWVGsWDE6d+7M0qVLiYyMzFQURq5cuQDYv38/ffv2ZdKkSdSsWZPDhw8nWy81cavME7958yYrV65ES0sLW1tbsYCUiIiIiIiIyH+C/7ywPXXqFIIgIJPJ+Oeffzh48CCenp7ky5cvTVErCAKHDh2iZs2aODk50b9/f1UhFuWDoToIgkBERARLly6lc+fOFCtWDCsrKxYsWICenh4+Pj7cuXOHp0+fUrhwYSQSSbIH5J9DqDODRCLB29ubhw8f4uvrq9acJUuWEBkZqZFnMC1yStz+XP3YyMiIcuXKpfAepdbmKbvQ1tZm6NChREZGMnLkSGbMmEH16tXZs2dPuqIjd+7ceHt7c+rUKQ4cOKDWXkrBNWvWrHTHff36ldmzZ2NsbIxcLmf16tVcuXJFo+JDmiCTyXj58mWKPG5li5pChQql2+c2M2S3qIVE77OrqysrVqzg+vXratlgZ2dH1apVs7z/zyG9EokEY2NjPnz4QIcOHYiOjubChQuMHz+eN2/eYGdnh5GRERUrVmTIkCHs2LGDqKgojfYsUqQIixcvJiQkhPLly9O+fXtat27N7du3VWNSE7d16tRh4MCBuLi4EB0drfpOlSHOIiIiIiIiIiK/K/95YatQKDA0NKR06dI4ODhgbW1Nt27d0hS1t27dolWrVnTo0IGKFSsSGhrKokWL1M7PjIqKYvv27QwePJiKFStibGyMnZ0db9++Zfz48Vy4cIG3b9+yf/9+Ro8ejbGxMTo6OjRv3jyF50OhUKhCqLNC9erVGT16NLNmzeLly5cZ2j9z5kyGDx+OmZlZlvZVkt3iNrWWPsoqvT9fQ7lcnqzNU05QuHBhFixYwI0bN6hRowZdu3alefPmhIaGpjmnTZs2tGrVigkTJmToSb9+/TorV65kxowZFC9ePNUxgiCwa9cuqlWrhpubG6NGjSIiIoLBgwfnaPEmZduXpC8Ufq5CnVaf28yQE6JWyejRozE0NFTLk75//378/f3x9vYmd+7cWdq3du3a6OnpJbt3P3z4wMWLF5FKpeTKlQsrKyumT5/O2bNniY6O5tChQ3Tq1InAwEB69OiBgYEBFhYWTJo0CblcrlbkAICpqSlyuZz9+/cTGRmJqakp9vb2xMTEAKmL2zlz5vDjxw9mzJiBVColISGB06dPZ+kaiIiIiIiIiIjkNP95YSuXy5HJZCxfvpzbt2/j6+vLxYsXU4ja6Ohoxo0bh5mZGffu3VMVW6lRo0a663/9+pV//vmHSZMmUbt2bQwMDOjZsycXL16kc+fOHD58mOjoaAICApg+fTpWVlapen1lMhmBgYF8/PgRSBlCnVVcXV3JnTs3zs7O6Y5zcXFBIpHg5uaWLfsqyS5xm1afWki8hjdv3uT58+dAYih5QEDAL+ujamxszOHDhzl27BivXr3CwsKCESNGpOpNk0gkeHl58ejRI3x8fNJcUxAE7O3tMTQ0ZPTo0amOCQkJoVmzZnTv3h0zMzNu3ryJp6cnhQsXzq5TSxNdXV0aN26cTJQpFIoUVaizQ9zmpKiF/8tJ9/f3Z//+/WmO+/btG46OjrRq1Yo2bdpkeV9lSG/SlwNnzpwhPj4+1Xu3YMGCtGvXThUW/PTpUzZs2ECNGjXYtGkTLVq0oGjRokilUubPn8/Vq1fTreAtkUjo2LEjt27dYs6cOaxZswZDQ0OWLVtGXFxcCnGbK1cupk2bxtKlS/ny5QtVq1YV82xFREREREREfnv+08L2wYMH3Lt3j/r16zN9+nQGDx7Mt2/fkonavHnzsnTpUgwNDVm/fj3u7u7cvHmTDh06pBqGGx8frwrXGzFiBEWLFqVly5Zs2rQJU1NTNmzYwLNnz7h58yY+Pj60bduWggULZmirVCpNliPq7+9PQkJCtuWG6unpMWvWLNatW0dQUFCqY0JCQlSewWLFimXLvknJqrhNT9QCKiGlrNp64cKFZG2efhWtWrXi+vXreHl5sX37dgwNDfHx8UnRTqZatWqMGTOG2bNnp9rqBWDfvn0qz6COjk6yY1FRUQwfPhwLCwuioqI4fvw4Bw8exNDQMMfOLTV+bvuiUCioXbt2insoK+I2p0WtkjZt2tC6dWsmTJjAt2/fUh3j4+PD48eP8fLyyrZ9ldfj/fv3wP/lKGdU+RygTJky9OvXj02bNvH8+XPCwsJwd3cnT548zJo1i7p162JgYMDff//N3r1701wnT548TJ48mYiICDp06MCoUaOwsLDA398/hbjt3bs3FStWxN7ePoUoFxERERERERH5HflPC1uFQoGWlhZnz54lPj6eTp06JRO1ly5donbt2owZM4ZOnToRERHBxIkTyZMnT7J1Hjx4wMqVK+nevTsGBgb06dMHSPTwzJs3j7CwMJ4/f87GjRvp16+f2j1fk2JoaEj58uVVni+5XI6hoSEVKlTI+oX4/wwbNowaNWpgZ2eXItRS6Rk0NjZm1KhR2bbnz2RW3GYkaiGx4rC5ubnqIVuhUFC8ePEs5ShnFh0dHezs7IiMjKRnz55MmDABMzMzjh07lmycq6srefLkUbWQSsq3b9+YMGGCSmwp+f79O15eXhgaGrJz5058fHwIDQ2lZcuWOX5eqZE0R1QQhHSrUGdG3P4qUavEy8uLJ0+e4O3tneLY8+fPmT17NmPGjKFatWrZtqcypNff3x/4v0gTTXPcJRIJNWvWxMHBgSNHjhAdHc2ZM2cYOXIkjx49Yu7cuQB07NiRkSNHsmfPHlXYsZJSpUqxdu1aLl++TIECBbCxsaFLly7o6uqqxG2bNm2YMWMGcrmcokWLEhkZyaNHj7LnYoiIiIiIiIiI5AD/aWErl8upWbMma9eupV+/fvTs2RNzc3OWLFlCv379VMVtLl++zJo1ayhZsiSQGAa8Z88eRowYQdWqValcuTIjR47kyZMnjB49mlWrVgHg5+eHvb09NWvWzHKRJWWOqFKUKYvvZCe5cuXCx8eHCxcuqNp+KNmzZw9nzpzBx8cnhWcwu9FU3KojapUkrdKbtM3Tv0Xx4sVZtmwZ165do2TJkrRp04a2bdsSHh4OQNGiRZk9ezbr16/nypUryeZ6eXnx9OnTZJ7Bo0ePYmpqysSJE+nVqxeRkZGMGzcux7+z9FDmiMrlcsLCwnj16lW6964m4vZXi1oAExMTxo4dy5w5c1Rh7UqmTp2Krq6uRtWT1aFSpUpUqVIFuVyeIkc5K+TOnZsmTZowa9YsLl68qBLOVlZWnDx5kq5du1KsWDHq16+Ps7Mzp0+fVuV8W1pacv78ebZs2cKlS5eoXr06W7du5fDhw7x8+RJPT0+aNm3Kzp07kUgkYnVkERERERERkd+a/6ywTUhI4OTJk3z48IEyZcqwfv16TE1NsbS0pG7duly5coWtW7dy7tw5TE1N8ff3x9nZmXr16lGsWDG6du2Kv78/LVu2ZN++fbx9+5bAwEDc3NywsLDIEZulUim3bt3i4sWL3Lt3L0dyQ21tbencuTOTJk1S9Xz9+vUrjo6OtGvX7pd5/dQVt5qIWkj0Hr548YLAwECCgoJ+eRhyWtSqVYtTp06xZ88ebt26Rc2aNZkwYQLv3r1j6NChmJmZJfOkR0VFMXfuXMaNG4exsTF37txRieIyZcoQEhLC0qVLcyRkXFOS5ogqFAry5s1L48aN052jjrj9N0StkunTp6Orq4uTk5Pqs8uXL7NhwwZmz55N0aJFs31PZfGz1HKUswtlWsSUKVOIiIjg4cOHrFy5kkqVKrFy5UqaN2+Onp4erVu3xsvLi7CwMHr27El4eDiTJk3Cy8uLjh07Ymdnx4sXL3jx4gUPHz6kbNmyorAVERERERER+a35zwnbhASBAyHPaOetQPfvBXy1Gs5HPWNKlS7D3bt3Wbp0KVOmTGHXrl08f/6c1q1bU7RoUWxsbFi5ciVVqlRh5cqVPHz4kPDwcJYsWUKnTp0oUqRIjttua2sLoOoR2bx58xzZZ8GCBbx+/RpPT08g0TP4/PlzFi5cmCP7pUVG4lZTUQtgbW1Nnjx5WLVqlarN0++CRCLhr7/+4vbt28ycOZMVK1ZgaGjImjVrWLhwIYGBgRw/fhxIPHddXV3GjRuHg4MDpqam3Llzh71793Ly5ElMTU3/5bNJjkwm48qVKxw9elTtKtTpidt/U9RCYjuc2bNns3HjRi5fvqxq72NmZsaQIUNyZE+pVEpERAQHDhzAwsJC7UrsWaFChQoMHjyY7du38+rVK65du4arqyvx8fE4OztTq1YtSpUqxbBhw6hcuTL+/v5YW1vj7OxMyZIliYqKomhRPd4XqcrZ3HVoOO8kf68M5EDIMxISNO+zKyIiIiIiIiKSU0iEjPpe/EYkJAjY7wjm4PUXSBAQkCAkxCPR0ubTzdNUfhVA6VKlCAwM5PXr1+TNmxdra2tkMhlSqZRatWqpFbZ67do16tSpw9WrV7Pde1u7dm1iYmIoWbKkqq9lTuDk5ISPjw9nzpyhefPmjBw5kgULFqg1N7vP/8ePH/To0YNDhw6xZ88e2rdvnylRq8TW1pa7d++SJ08eIiIismxfTvH8+XOcnJzYuHEjtWrVolChQoSHh/P69WsAevfuzYkTJ/j69SvTpk3D3t4+R9sWZYUHDx5QuXJlcufOzaxZs5g0aZLacz9+/EirVq24ceMGcrkcS0vLHBO1mty78fHxWFhYoKury+jRo+nXrx+nTp3KsRdOMTEx6OvrU7BgQUaOHMm8efOyfQ9Nzv/bt2+cP38euVyOXC4nODgYQRAwMTGhevXqBAcH8+DBQww6TULXxFr1t1ZLAgkCdKhVGp/u5mhpZS1NQ+T3QiKR8PXHv/9YoKuTeF/9DrbA72WPaEvqKG3Ja556h4FfzbeQJcDvdW1EW5LzO9kCv5c9v5st6srV/5TH9tD15xy8nlhdViDxgku0Ent4FqjRjFufdHn69CmDBg1CoVAQExPDP//8w8SJE6ldu/a/moupRCqV8vjx4xwPoZ06dSpFihShe/fu5M+fHxcXlxzdLz1+9twOGzYs06IWEr2HT548yZFQzuykdOnSbNiwgYsXL5InTx7Onj3LmzdvgMTcyC1bttC2bVsiIiKYMmXKbytqITFHtHTp0nz//l1jL/nPnts+ffr8a57apGhra+Pr68ulS5cYN24cXbp0yTFRC4n51tWrV+fDhw+/RaRB3rx5sbW1Zd68eVy9epXXr1+zY8cOrK2tuXbtGg8ePKBAjabomlgD//e3VumoPRj6nEPXn6e1vIiIiIiIiIjILyVlw9XfmK2XH6u8BT8jQaBhv0nMk5VUfXbr1q1M7aNs96P83+xEW1sbQRDIlSsX165dy/b1k9K2bVvWrFlDv379uHfvntrzcur8J02aRFhYGKtWraJZs2b06NGD4OBgjdfJnTs3giCgpaWV49cwO9DR0WHJkiVs3bpV1dM2V65cLF68mDp16vDy5Utevnz57xqpBoUKFeLly5fEx8dn6rq7u7vTtWtXtm7dSt++fWnYsGG2f3+a3ruFChWiYsWKPHz4kO7du+f4/ZQ/f34gUVTmxF5Z/d2tWrUqVatWZfjw4Tx9+pSZZ98RnZAAqbwU1JIk/k3uaF4mSzaL/H4o39T/DvxOtsDvZY9oS+ooPaW/C7/TtRFtSZ3fyRb4vez5nWxRh/9UKHKj+Sd59i713pMAce9f82zZoF9okYiIiMifS5mRa8lV2CDt40V0OT/5946cENGMrHYAEBERERERyW7Ulav/KY9t2aL5ePH+W6oeWyEhntw/PlK0aFFiYmLIkycPtWvXpn79+tSvXx9DQ0O1Q5Fv375Nnz592Lx5c7b2sgQYOXIk4eHh1KxZEz8/v2xdOymHDx/G1dUVJycn3N3dcXFxoVOnTmrNzYnz3759O56envTt25fRo0czdepUAgIC8PT0pEmTJhqtNXnyZK5cuUL58uVZv359ttiXEyQkJHD8+HH8/Px4//491apV4+bNm8TFxQFgYWHBtWvXMDMzw9HRkRo1avzLFqfNhw8fsLGxQRAEje4lSPxj5OPjw+bNm5k0aRLt2rVj7NixqmJvNWvWzDY7Nb13J0+eTEhICG3atGH79u3s2bMnU32q1eH79+80a9aM+Ph4VU5vdqPp+cfGxhIaGsrFixe5fPkyd+7cQRAEypcvj66uLu/ev0K7oL4qDDkpWhIoW1Q3289B5N/nd8mpgt/DFvi97BFtSZ3fyRb4vXJ+xXzf1PmdbIHfy57f0RZ1+E8J2171ynPpQXSqxyRa2rw6vwfjihXx8vLi7du3yOVyVq5cia+vL8WLF8fW1lZVSKp8+fIZ7letWrVsLR719etXQkNDkUqlnD59mpo1a5I7d+5sW1/Jx48fWb58Od27d2fu3Lk8fvyYFStWMGHCBAoXLqz2Otl1/osWLcLT0zNZTu3x48fp0aMHkyZNUhWUUgdlGGyjRo04fvw4VapU0eicfhWXLl3Czs6OS5cu0bVrV8aNG4dMJqN///6sWbOGGjVqkJCQgFwuZ8KECfTr14/+/fvj7u5OqVKl/m3zU7B3714EQaBWrVpERESofV8oqx9v3rw5WU7t2bNnadWqFWPHjkUul1OvXr1stVede/fMmTMoFAo2btxI586dUSgUbNiwgV27dmWrLUqUPWQbNmzI7du3c6ytGKR9/gkJCYSGhqJQKJDL5Zw9e5Zv375hYGCAVCrF0dGRN2/esGDBAqKiojAocQXKp16hO0FI/JssIiIiIiIiIvI78O9XU9KA9mal6VAr0ZuiLMQpJMQD8OnmaTpZlENbW5uBAwdy5coVVq5cSXR0NKdOnWLIkCHcu3ePIUOGUKFCBYyNjRk9ejT79+/n/fv3v8T+c+fOERsbS9++ffn8+XOOVUV2d3cnJiYGDw8PAObNm8enT5+YPXt2juyXHmlVP1a3z+3PhISEEB0dTb9+/UhISMDf3z8nzdeY58+f079/fxo0aMC3b984ffo0u3btwtfXl2LFijFw4EAAJk6cSEhICA8ePODq1assW7aMw4cPY2RkxLx58/j2Le2Q+38DuVyOoaEhbdu25eTJkyQkJGQ4J72WPur0uc1J4uPjsbOzo379+vTu3ZsCBQowf/58du/ezenTp3NkT7lcTvHixencuTMBAQG/7Dt+/Pgxa9asoUePHpQoUQILCwtcXV3R1tZm9uzZhIaG8uLFC4YPH86iRYuYPHkyNjY2mJqa8vaanNiI84kLCYnfufJvb4dapWlvljPebRERERERERERTflPCVstLQk+3c3x/dscy4p65Ir9gM67x0Qd8KBTiXds3bIFGxsb1q5dy5kzZzAxMWHevHnUr1+fuXPncvnyZd68ecOuXbto3rw5x48fp3Pnzujp6WFlZcX06dMJCAjgx48fOWK/XC6nZMmSdO3aFT09PeRyebbvcf/+fRYuXMikSZOoUKECAGXLlsXJyQlfX99f2h4no5Y+mRG3crmc/Pnz07lzZypXrpwj1zAzfPv2DXd3d4yMjDh69CgrVqzg6tWrNG3aFH9/f/bs2cP8+fPR1U0M3TQ1NaVv3744Ozvz6dMnRowYQWRkJEOGDMHFxYUaNWqwf/9+tXMKchq5XI5UKkUmk/HmzRtCQ0PTHa9On9p/U9yuWbOG0NBQfH19VSkKvXr1okGDBtjZ2REfH5/teyoUCmxtbWnRooWq1U5OcerUKUaPHo2RkREVKlRg6NCh3L9/n2HDhnHq1CliYmI4duyYKoqjZ8+eNG3aFB0dHRQKBc+ePeP27du0atWST/8s5v0xH0rrfKVMEV0sK+rh+7e52OpHRERERERE5LfiPyVsIVHcdjQvw45hVgwxeMSLzZOpX1KbgDNn8PDwwMPDg/DwcMLDw7Gzs8Pd3R0TExO2b9+OIAjo6enRtWtXli9fzr1797h37x7Lli2jbNmyLF68mKZNm6pafmzdupWbN29mm7hQKBRIpVK0tbWxtbVFoVBky7pJcXR0xMDAIEWf0QkTJlC6dGkmTJiQ7Xumhrp9ajUVtwqFgqZNm5I7d25kMlmOXENNEASBvXv3Ur16daZPn86wYcOIjIxk2LBhaGtrEx8fj729PVZWVvTq1SvZXHd3d758+cKsWbOAxHYw3t7eXL9+HUNDQzp37oxUKiUsLOzfODUVDx484N69e8hkMqysrMiXL1+6110dUavk3xC37969w9nZmX79+lG/fn3V51paWvj6+nL9+nVWr16drXvGxMQQFBSEVCrF1NQUAwODbLt3v3//TkBAAC4uLgwYMABIjAg4ceIENjY27N69mzdv3nD58mXmzJlD8+bNyZMnD58/f8bV1RUTExMCAgLYsGEDCoWCGTNmEBoayrJly9i3bx+9e/fiXaiCJX8Zcn6yDTuGWdHRvIwoakVERERERER+K/5zwjYpMpmML1++0LdvX+7du4e2tjZeXl7Mnz+fuXPnMnfuXG7dukWdOnXo2bMn1tbWXL16NdkalStXZtiwYezatYuoqCiuXLnC4MGDAfDz86NmzZqUKVOGfv36sWnTJp4/z1zfxqioKIKDg1X9K5UP8e/evcvSNUjKqVOn2LdvH/Pnz1e1FVGiq6uLp6cnhw8f5sSJE9m2Z2qoK2qVqCtuv379yrlz55Jdw4iICB4/fpzt56AO169fx9bWli5dulCtWjXCwsLw8vKiSJEiqjGrV6/m+vXr+Pr6prgOZcqUwcnJCT8/P8LDw1WfV6tWjWPHjnH48GGePn2Kubk5o0eP5u3bt7/q1JKhUCjQ0tJSCaImTZqk6SnXRNQq+dXidtasWXz9+hV3d/cUx+rVq0e/fv2YNm1atv5u+vv7k5CQgEwmQyKRIJVKMx1tIAgCN27cwMfHh7Zt26Knp0fTpk1ZunQpJUqUAODgwYPcvXuX5cuX06VLF/T09JLN37p1qyqixcHBgYiICP766y/atm1LaGgox48fZ8OGDVSsWJEiRYpQrFgxatWqlS3XQkREREREREQkJ/hPC1tzc3P09PR48OABI0aMYObMmfTu3Vslbp2cnKhcuTL79u1DLpfz7t07LC0tGTx4cKp9Q7W1talbt64qD9Lf358TJ07Qu3dvwsLC6NevH2XKlKFmzZrY29tz5MgRPn36pJatp06dAsDW1hYAqVSarTmicXFx2Nvb07BhQ3r27JnqmK5du9KkSRMcHBxyLNxaU1GrRB1xe/bsWWJjY5FKpQA0b94ciUTyy722b968YeTIkdSuXZvnz59z5MgRjhw5gomJSbJxMTExODs7079/fywtLVNda/z48ZQtWzaFJ10ikdC2bVvCwsLw9PRk8+bNGBoa4ufnl2PfXVooFAosLS1Vgl0qlaqKDiUlM6JWya8St+Hh4fj5+TF16tQ0qx+7u7vz9etX3Nzcsm1fZY6ysmidTCbj2rVrar+seP78ORs3bqRv376ULl0aU1NTpkyZQmxsLNOmTSMoKIioqCjmz58PJL40SY2goCAaN25M7969qVevHrdv32bu3LlIJBJat25NaGgoJ06cUBXf8/Ly4vTp09ja2qpdVV5ERERERERE5N/gP/2kogzplcvluLm5oa2tzbRp03BwcEgmbgVBQCqVEhISwuLFi9m/fz9GRkZ4enoSGxub5vq6urq0aNECT09PgoODefXqFVu3bqV+/frs3buXdu3aUbRoUZo0acKsWbMIDAxUtXL5GblcTvXq1VUPnJUqVaJKlSrZJspWrVpFWFhYqp5BJRKJBF9fX+7cucOyZcuyZd+kZFbUKslI3CoUCkqVKqVqi6Onp0fdunV/WZ7tjx8/8PX1xdDQkG3btrFgwQKuX79OmzZtUh3v5uZGbGxsqp5BJbq6uixYsIAjR45w7NixFMdz587N+PHjiYyMpGvXrtjb21OrVi3++eefbDuv9EhISODkyZMqLzkkirKfc0SzImqV/Apxq3yRMH78+DTHlC5dGmdnZxYtWsSdO3eyZV+5XJ7sGkqlUgRBUL3w+pmPHz9y+PBh7O3tqVGjBmXKlKF///7cuHGDvn37cuLECaKjo1EoFEyZMoU6deqkKzxfvnzJoEGDsLS05MOHD5w8eZI9e/ZQuXJlPn36lEzUWlhYMH78eGQyGY0bN+bKlSvJbBcRERERERER+R35TwtbSHxAvHz5Mtra2sycOZPVq1cTHBycqrjNlSsXo0aNIjIykgEDBuDk5ETNmjU5dOiQWnm0BgYG9OzZkzVr1vDo0SPCw8Px8fFBX1+fBQsW0LBhQ4oVK0bnzp1ZsmQJERERCIKAIAiq4jtJkclk2SLKoqOjcXFxYeDAgdStWzfdsebm5gwdOhRXV1fevHmT5b2VZFXUKklP3CqvYdK1pVIpCoVCrSq9WeHEiROYmZnh4ODA33//TWRkJA4ODmm2a7p9+zaLFy/G2dk5w/Y9f/31F82aNUvXk25gYMDKlSu5evUqxYsXp2XLlnTo0IHIyMgsn1t6BAcH8/bt22T3rjJHVHnvZoeoVZKT4vbo0aMcPXqUhQsXkjdv3nTHOjg4UK5cuXQFsLokzVFWUrZsWUxMTFTXMC4ujsDAQNzc3GjSpAl6enq0b9+effv2YWVlxbZt23j9+jXBwcF4eHjQokUL8uXLl+HesbGxeHh4YGhoyMGDB1m6dCnBwcHY2NgApBC1VlZW+Pn58eDBA7y9vTl9+jQJCQkp/naJiIiIiIiIiPxu/OeFrUwmIyEhgdOnTzNixAiqVauGnZ0dgiCkKm4h0dPn5+dHaGgolSpVokOHDrRs2ZKbN2+qva9EIsHIyIjRo0ezb98+3r59y4ULF5gwYQJv377F3t4eY2NjKlSoQPfu3Xn8+HGKXp1SqZTIyEgePXqUpWswc+ZMYmNjmTt3rlrjZ8+ejSAITJ8+PUv7KskuUaskNXEbFRVFSEhIqi8H3rx5w/Xr17O0Z1pERETQvn17WrVqRYkSJbh27RrLly+nePHi6c4bP3485cuXx97ePsM9JBIJPj4+REZGsmTJknTH1q5dm9OnT7Nz505CQ0OpUaMGkyZN4sOHD5qcltooFAry5cuHlZVVMnuVLxSyU9QqyQlx++PHD8aPH0/z5s3p3LlzhuPz5s3LwoULOXbsGEePHs3S3soc5WbNmqk+EwSBunXrsnfvXjp16oS+vj4NGzZk4cKF6Ovr4+vrS3h4OA8fPmT16tX06NEjw3suKYIgcODAAWrUqMHUqVMZNGgQERERjBw5kly5EtuXpyZqLRy8NgAA3XxJREFUX716xaxZsxg1ahQ1atRAoVBgaGioqrAuIiIiIiIiIvK78p8XtsqQXrlcjo6ODt7e3pw9e5bdu3cDpCluAWrUqMGJEyc4cOAADx48oFatWowbNy5TfW1z5cqFlZUVLi4uBAQEEBMTw+HDh/nrr79UIZt9+vShdu3aTJw4kX/++QcrK6ss54jeunWLJUuWMG3aNEqWLKnWnOLFizN9+nRWrFiR5Yq72S1qlfwsbpU9eX8Wtg0bNkRXVzfbw5Hfv3+Po6MjNWvWJCwsjF27duHv74+5uXmGc48ePcrx48dZsGBBhp5BJbVq1WLo0KHMmDGDqKiodMdKJBK6devGnTt3cHFxYcmSJRgaGrJmzZpsb1Mjl8tVVaiToswRHTNmTLaKWiXZLW6XLFlCZGQkPj4+at+jnTp1onnz5owfP57v379nem+FQkG9evX4/v0727ZtY9CgQVSoUIHNmzfz9u1bnj9/jqOjI4GBgbx9+5Z9+/YxatQojIyMMv37NGrUKDp16kSVKlVUxcuSFpBKTdQCODs7o6Ojw4wZM4CUIdQiIiIiIiIiIr8r/3lhC/8XjgrQokUL2rdvj6OjI1+/fgXSF7cSiYQOHTpw48YN3N3dWb9+vcqjk1a+rDoUKFCAtm3b4uPjQ4MGDbC0tGTjxo2YmpqyZcsWWrZsSeXKlSlQoAB+fn4EBQVpLEqUXumKFSuq5RlMypgxY6hatarKu50ZckrUKkkqbr28vChXrlyKgj/KKr3ZlascHx/P6tWrMTQ0ZNmyZbi6unL79m26du2q1vl9//4dBwcHbGxs6NSpk0Z7K9v+qOtJ19XVxcXFhfDwcGQyGUOGDKFevXqcO3dOo33T4ucq1EmxtbVFEASWLl2a7aJWSXaJ26ioKGbMmMGwYcMwMzNTe54mnvTU+PLlC8eOHePQoUPcv3+fEiVK0KtXLy5fvkyXLl3YtWsX2traDB48GBcXFxo0aKDypmaGt2/fqopHPX/+nEOHDnH8+HGqV6+ebFxaovbq1ausXbsWNzc39PT0ePjwIXfv3hXDkEVERERERET+E/wRwvbnti8LFy7kxYsXLFiwQDUmPXELiQJp4sSJREREqEIGe/XqxcmTJ7NkW1xcHKdOnaJdu3b07duXjRs38uzZM27cuMG8efMoUaIE169fx9LSEgMDA7p3787KlSt58OBBhmsfOXKEf/75h4ULF5InTx6N7MqdOzfe3t74+/uzf/9+jc8rp0WtEh0dHbZt20aePHl49uxZqtWSZTIZAQEBKar0akpAQAB169Zl6NChtGzZkoiICJydndHV1VV7jcWLF3P37l2NPINKihcvzowZM1i5ciWhoaFqzytbtiybN2/m/PnzaGlpYW1tTY8ePbLcBuncuXPExsamELaCIODr6wskesxzQtQqyQ5x6+LigkQiyVSVYzMzM4YPH87MmTN5/fp1umPj4+MJCgrC3d0dGxsbihYtSps2bfj69Su1a9dm48aNPH/+nBs3buDt7U3Xrl2pX79+lqMN4uLiWLx4MYaGhhw5cgSA3bt3065duxT3YFqiVhAE7OzsqF69OsOHDweSt3kSEREREREREfnd+SOErbLti/IB0dDQEHt7e9zd3Xny5IlqXEbiFqBkyZIqj1mBAgWQSqV07tyZe/fuZcq2oKAg3r9/n8zrIZFIqFGjBvb29qxatQpIrGo8evRonjx5wsiRI6lcuTJVqlRhxIgR7N69m+jo6GTrKj2DUqmUDh06ZMq2Nm3a0Lp1ayZMmKCRKPxVolbJw4cP+fr1Kw0aNEi1WrJUKk1RpVcTHj16xN9//60KuQ0MDGTTpk1ptkxJi9evXzNz5kxGjBiBqalppmwZPXo0RkZG2Nvba+xJb9iwIZcuXWL9+vWcOXMGExMTZsyYwZcvXzJli1wup2TJkqoq1JC8UFTTpk15/vx5pj3+6pIVcRsSEsLKlSuZMWOGRjmqSXFzc0MikeDi4pLi2P3791mxYgXdunXDwMAAS0tL5syZQ758+fDw8MDBwYH8+fNz8OBB+vbtm6KQmEwm49SpU5kOIVcoFJibmzNu3Di6dOnCvn37gMQXQj+TlqgF2LFjB+fPn8fX11flNZbL5cnaPImIiIiIiIiI/M78EcJW2fYlaTjqtGnTKFiwIFOmTEk2Vh1xq2TNmjVs27aNoKAgqlevzpQpU/j48aNGtikUCgoVKpSicJQSKysr8uXLR0xMDG5ubsny7Fq1aoW/vz/dunWjWLFi1KtXj6lTp+Lv74+Xl5eqcmlWhKWXlxdPnjzB29tbrfG/WtRC4jXMlSsXhw4dSrVasrJKr6bhyJ8/f8bV1RUTExMCAgLYsGEDgYGBNGjQIFN2Tps2DW1t7Sz1P1XmiZ8+fZq9e/dqPF9LS4v+/fsTERGBnZ0d7u7umJiYsH37do0FqEKhSFaF+udCUePHj+fhw4fcv39fYzs1JTPiVhAEVRG3UaNGZXrvYsWKMXPmTFatWsWZM2fYvXs3w4cPp0qVKlSpUoXRo0fz7NkzRo8eTUBAANHR0Rw+fBg7OzuuX7+eao6yEplMRkxMDNeuXdPIprt379KxY0dkMhlFixYlKCiIVatWoa+vn+r49ETtly9fmDhxIp06dVL12U6tzZOIiIiIiIiIyO/MHyFsIfEBMWnbl0KFCjF37ly2bt3KhQsXko1VV9xKJBJ69OhBeHg4Tk5O+Pn5YWRkxPr169VuLyOXy2nevHmauXPKHNGk4YhFihShU6dOLFmyhPDwcB49esTq1aupUqUKq1atwsbGBicnJ8qUKcOJEycIDQ3NdLsbExMTxowZw5w5c3j+/Hm6Y/8NUQuJ19DKygo9Pb1UWwFpaWmp+hmrgyAIbN26FRMTE+bNm4eDgwMRERH069cv3V6g6RESEsLq1auZMWNGmuJCXVq1akWbNm1wdHTMdHh1wYIFcXd359atW9SpU4eePXtibW3N1atX1ZofFRVFcHCwKtIgterHzZo1Q1tb+5f1EdZU3O7du5czZ87g7e2dqgdTHWJjYzl16hTPnj0jT548NGvWjG7dunHmzBlat27N/v37VRXR3dzcsLa2VonY9HKUldSrV4+CBQuqfQ0/fPjA5MmTqV69OsHBwWzfvp2AgAAsLCzSnJOeqAXw9PTk9evXyVI3QkJCePv2rShsRURERERERP4z/DHCViqVpmj7MmDAACwsLLCzs0sh/DTx3ObLl48ZM2Zw584dmjVrxsCBA6lfv34Kwfwznz59IjAwMMPiK1KplLNnz6YpYsqXL8+gQYPYtm0br169onPnzujq6lKlShWmTZuGubk5pUqVonfv3qxbt46nT5+mu9/PTJ8+HV1dXaZOnZrmmH9L1CpzlJXXMK0+t8oqvW/fvk13vaCgIBo3bkzv3r2pV68et2/fZu7cuRQsWDDTNirzE01MTBg5cmSm10mKl5cXT58+xcvLK0vrVKlShX379iGXy3n37h2WlpYMHjyYly9fpjvv1KlTQOK9mVZLn0KFCmVLjqgmqCtuv337hqOjI23btqVVq1Zqr5+QkEBoaCgLFiygVatWFC1aFFtbW9atW6fy5C9dupQ7d+6wePFiOnbsSOHChVNdS5mjnN7vv46ODs2aNcsw2iAhIYG1a9diZGTEokWLmDZtGnfu3OHvv/9O93cxI1H7+PFj5s+fj4ODA1WqVFF9rlAoyJ8/f6ajF0REREREREREfjV/jLBNre2LtrY2vr6+BAUFsXHjxhRzNBG3kCgwt23bRkBAAAkJCTRq1IjevXunKSQDAgL48eNHhl4PmUymdo5oSEgI+/fvx8PDg1OnThETE4NCoWDQoEGEh4czePBgypUrh4mJCWPHjuXAgQMZ9jgtWrQos2fPZsOGDakKhX9L1EKiEP3w4UOya5iauFUKMKUg+5mXL18yaNAgLC0t+fjxIydPnmTPnj1Urlw5yzbu3r2bgICALHkGf8bY2Jhx48Yxd+5cnj17luX1pFIpISEhLF68mP3792NkZISnpyexsbGpjpfL5VSvXp3SpUun26c2qzmimUEdcbtlyxa1Xww8efKEtWvX0qtXL0qWLIm5uTkuLi4IgoCbmxvBwcG8fPkSf39/2rVrx/z581UV19MjtRzl1JBKpZw/fz7NXOjz589Tr149Bg8ejI2NDeHh4UyfPp18+fKlu25GohZg8uTJFC5cGGdn5xS2pxdCLSIiIiIiIiLyu/HHCNvUQnoBGjduTI8ePZgyZUqqAk9TcQtgbW3N5cuXWbNmDQqFAmNjY2bNmpXiYVcul1O2bFmMjIzSXa9mzZoYGBhk6PlKWrl0xIgRAOTNmxdbW1vc3d0JCgoiKiqKnTt30rRpU44cOUKnTp3Q09OjUaNGuLq6cu7cOX78+JFi7SFDhmBmZsa4ceOSebf/TVELidewUKFCWFpaJvv8Z3EbEhKCsbFximsYGxuLh4cHhoaGHDx4kKVLl3Lt2jVsbGyyxb6vX7/i6OhI+/btadmyZbasqcTFxYV8+fLh5OSULevlypWLUaNGERkZyYABA3BycqJmzZocOnQo2X0vCAL/j72zjqoi/f/46xJ2gYHYygIGqITdeq+6dne3a9C2GCAoIIIda2B3x+q9YiuKICohsHaLgIqBIszvD373rkjdC7jrd3de58zxnJlnnuczw4Dznk/J5XLatGmTpaiFVGH75s0btUOc84rsxO2GDRuwsbHJ8Hfv7du3HDp0iIkTJ1K9enUqVarEqFGjiI6OZtSoUZw+fZr4+HhOnjyJo6MjdevWVYWoL168mGfPnrF48eJsbfw+RzkzZDIZX7584fz582n2P378mAEDBtC0aVMg1QO8fft2KlasmO3aHz9+zFbUXrhwgZ07d+Lu7p4mYuHTp09cuHBBbPMjIiIiIiIi8j/Fv0bYQuoLYkYhvYsWLeLdu3e4ublleF5OxK22tjYjRowgOjqaCRMm4OLiQo0aNdizZ4/qfIVCgUwmy/bFVktLK00v3szYvXs3Fy9exMfHJ9Oc3ZIlS9K7d2/WrFnDvXv3+PPPP1mxYgWGhoYsW7aMZs2aoa+vT+fOnVm6dCnh4eEIgqDybl+9epU//vgDgJ07d/6johZS72FmOcrfi9tffvlFdQ8FQeDQoUPUqlWLGTNmMGLECKKiohg/fnyueoV+j5eXF8+fP1dL6GhKiRIlWLBgAVu2bCEgICDP5tXX12fp0qXcvHmTqlWr0qVLF9q1a0dYWBiQWpjo0aNHPH78OEtRC3/liOZVH2FNyErcFihQQFXFOCkpiQsXLjBnzhwaN25MyZIl6datG8ePH6dFixbs2bOHmJgYAgMDcXNzo3Xr1hQoUCDDNU1MTFRFubLypCtzlNXJUa1evTrly5dX3cOPHz8yf/58TE1N8ff3Z8OGDVy7do0mTZqofW8mTZqUpahNSUnB1tYWa2trhgwZkubYpUuXMmzzJCIiIiIiIiLyM/OvE7YZhfRWqlSJKVOmsGTJkkzb9nwrbpctW6b2msWKFcPDw4OwsDBq165Nnz59aNGiBadOnSI0NFRtr0d2OaIfP35kypQpdOnSRSNPipGREWPHjmXv3r3ExMRw7do1pk+fzocPH3BycqJWrVpUqFCBoUOH8uTJEzp27MjSpUuB1KIy/6SoVeYoZ/WC/a24PXnyJPfv3+fEiRO0bduWbt26YWRkxK1bt/D19UVfXz9P7Xvy5AkLFy7ExsYGY2PjPJ1byYgRI6hTpw62trY5LhCWGbVq1eLkyZMcOnSI+/fvU6dOHSZPnsyBAwfQ0tLi4MGDWYpa+CtH9O/Ms/2W78XtoUOHAOjTpw+bNm2iU6dO6Ovr07x5c5YtW0b58uVZsWIFd+/eVbXq6dWrl0YFv2bNmkXhwoXTVVz/lm9zlLNDIpEglUqRy+Xs2rWL6tWr4+rqyqRJk4iKimL48OFqFzVThjNHRUVlKmoBNm3aRHBwML6+vunmVjeEWkRERERERETkZ0Ii/OgmlH8jKSkpGBoaMmLECNzd3dMc+/jxI6amplhbW6t6PWbEkiVLsLe3B1LzO62srDSy4dSpU9ja2nLnzh0EQSA0NFStF8QnT55QsWJFdu3aRZ8+fdIdnz9/Pq6uroSHh/PLL79oZFNmfPjwgYsXLyKXy5HL5WkKbwG0bt2aQ4cOUaRIkTxZT1OOHTtGp06duHPnDqamplmOTUpKUolbgF9++YUlS5bQsWPHHybKBw0ahFwuJyoqKtMCQt8THByMlZUVQUFBWVay/ZZz587RsmVLNm/ezODBg3NjcqZ8/vyZpUuX4uLiwocPH0hJScHHxwcbG5tsz126dCmOjo7Ex8dTuHDhH2JfdkRHR9OhQwf+/PNP1b58+fLRpEkTZDIZMpkMCwsLtLW182S933//ndGjR3P58uUMxeOoUaO4cuWKygueHa6urioPc9euXfHy8tL49/z9+/c0a9aMkJAQNm7cyLBhwzIc9+7dO4yNjZFKpWzbti3dcSsrK2rWrMmWLVs0Wl/k34FEIuFT0j//WlBQN/Xv9s9gC/xc9oi2ZMzPZAv8ZU+BuhP+YUsgMWQF8HPcm5/p5/Qz2QI/lz0/my3qytV/lcdWGdKbkfeoUKFCeHp6cvDgwSzDJu3s7FTCdtmyZRr3/mzbti03b97E2toabW1tGjdujLe3N1++fMnyvAoVKlC9evUMbXv8+LGqLU1eiVqAwoUL065dO7y8vLh58yYvXrxIE5bo7++Pvr4+LVu2xNXVlatXr/L169c8Wz87FAoFFStWzDZH+evXr6xZs4arV68CqS9mixYtolOnTj9M1F6+fJlt27bh5uamtqjNKS1atKB3795MnTqV9+/f/5A18ufPj6OjI/3791d5htetW8fp06ezPVcmk6nCff8u3r9/z/Hjx7Gzs8PMzAwTE5M0otbBwYH4+Hj8/f2ZPn266vcxrxg+fDgWFhYZVlxX5iirE8r78uVLRo8erRK106ZN4+DBgzkStb/++itRUVEA1K5dO9Oxrq6uvH//nkWLFqU79vr1a7VDqEVEREREREREfib+VcIWUkP/Mgvp7du3L02aNMHW1jZLgTZw4EAA/Pz81M65/RYdHR2ePHnCmDFjGDRoEE5OTpibm3P8+PFsbZfL5enWmzp1KsWKFUtXuTSv2b17N5s3b6Zfv34ANGzYEG9vb4oXL46HhwcNGzakVKlS9OjRg1WrVhEdHa3xvdEEpTjISpwqFArq1q3L5MmT6dWrFzY2Nujo6NCvXz9VK6C8JiUlBRsbGywtLTP1iuU1Hh4exMfHp4tEyCuULX3Wrl0LwPr16ylRogRSqZTu3btnGsIPf+WI/shw5K9fvxIQEICrqystWrRAX1+fjh07snfvXurXr8/69esxMDCgVatWAKxevZrQ0NAfZo8yJz0wMDCdZ1OZo5xVGPKXL1/w8vLCxMSEffv2sWzZMszMzLJtw5QR31Y/XrFiRZZjo6Oj8fHxYdq0aVSoUCHd8dOnTyMIAm3atNHYDhERERERERGRf5J/nbCVyWSZtn2RSCT4+voSHh7OmjVrsp3L3t5eo4JSSiIiInj+/Dldu3ZlxYoVhISEUKFCBTp27Mivv/5KREREprY/ePCAe/fuqfZdunSJHTt24O7uTrFixdS2QVO+rX7s6OgIQEBAAObm5hw6dIi4uDguXbqEnZ0dMTExTJ48GRMTE6pWrcqoUaPYtWsXMTExeWbP8+fPCQsLy1Qc/Pnnn3Tt2hWZTIaenh7Xr19n3bp19OrVi6SkJJo2bZqmz21esnnzZq5fv46vr2+eegGzokqVKqoKxffv38/Tub/tU9uxY0eKFi3KkCFDuHDhAjt27OD69evUrFmTadOmkZCQkO58ZY5oXhaQEgSBqKgoVq5cSffu3SlVqhSNGjXC09MTPT09vL29uXPnDo8ePWLDhg38+eefvH37FgcHByA1FD2rPrd5QbNmzejbt2+6+yKXy9HR0aFFixYZXtfRo0cxMzNj2rRpDBkyhOjoaCZOnEjbtm1RKBQa/a35vqVPVp5aSPVkGxoaqn7Hv0ehUFCzZk3Kly+vtg0iIiIiIiIiIj8D/zphqwzpzcx7ZGVlxfDhw3F2diYuLi7LuQYOHKhxtWRIfbHNly8fzZo1A8Dc3ByFQsGBAweIioqidu3a2NnZER8fn+a8li1boq2trbJd6Rm0srJi6NChaq2dEzJr6WNmZoaNjQ3Jycno6OjQuHFj5syZw4ULF4iLi+PIkSN07dqVK1eu0K9fP8qUKYOlpSVTp05FLper1eszM5Qi6XvP0bt375g6dSo1a9bkxo0b7Ny5k/Pnz6vyVRs0aECRIkVo1apVmj63eUVCQgLTp0+nb9++qjYsfxdTp06lVKlSODk55dmc34raZcuWkZCQoKpCLZFI6NevH5GRkUyfPp2lS5diYmLCpk2b0oXfymQybt26xcuXL3NsS0xMDDt37mTUqFFUqVIFU1NTbGxsiI2Nxd7ensuXLxMbG8vBgweZOHEipqamSCQS7t27h7e3N05OThgaGgKoPKA/Wtx6eHjw5s2bNJ50hUJBo0aN0rTQgdQPXr/++iudO3emUqVKhISEsGzZMlXhKqlUypMnT4iMjFRrbXX61H7LqVOnOHLkCJ6enhQsWDDdcU1CqEVEREREREREfjb+dcIWyNZ7tGDBApKSkpg7d262c+WkFZBCoaBJkyYUKlRItU8ikdCtWzfCwsJwcXFh3bp1GBsbs3r1apKTk4HUCssNGjRQCVs/Pz+CgoIyrFyaV2TVp9bR0ZGbN2+yfv36dOcVLVqUTp064evrS1hYGE+ePGHTpk3UqlWLzZs307ZtW/T09JDJZCxatIjg4GCNqvrK5XLq1KlDmTJlgFSRv2HDBkxMTFi2bBmzZs3izp079O3bN43Nyiq9Z86cSdMKKK/ErZubG2/evMHDwyNP5tOEwoULs2jRIvbt28eZM2dyPd/3onbYsGEZVqEuVKgQc+fO5c6dO7Rs2ZLhw4fToEEDLl++rBqj/AChidf206dPyOVypkyZgqWlJWXKlKF///5cuXKF7t27c+TIEeLi4jh//jzOzs40atQow1ZNTk5OlCpViqlTp6r2FS5cOMs+t3mFsuL64sWLuXfvHl+/fsXf3z9NpEF8fDw2NjaYm5sTHR3NwYMHkcvlmJmZpZmrefPm6OrqqnUPNRW1SUlJ2NnZ0axZM3r37p3hmLt37/Lw4UOxf62IiIiIiIjI/yT/SmErk8m4f/9+pnmBZcuWZfbs2axcuVKtqqWaiNukpCTOnj2bqdejQIECTJs2jejoaDp37sz48eOxtLRUCRWZTIa/vz/x8fFMnz6d/v37a9S/UhOyErWQ6mkeMmQIM2fO5M2bN1nOVb58eYYOHcqWLVt49uwZt27dwt3dHV1dXebPn4+VlRVlypShb9++rFu3jgcPHmQ6lyAIqh7AkBqOXb9+fUaOHEnr1q2JjIzE2dk5zYeDb5HJZFy6dImkpKQ8Fbd3797F29ubqVOnUqlSpVzNlVMGDBhAo0aNss0Tz47vRe3EiRM5f/48SUlJmT67lSpVYseOHZw/f56UlBSaNGnCwIEDefLkCWXLllVFJmRGSkoKQUFBLFy4EKlUip6eHm3btmXLli3UqlULPz8/njx5QlhYGD4+PnTq1Cmd1/N7/P392b9/Px4eHukqMmfV5zYvmTJlCmXKlMHR0ZHr16/z9u1bZDIZX79+ZdWqVRgbG7Nhwwbc3NwIDw+na9euGeaNFy5cmMaNG2ebq6ypqIXUnOOIiAh8fX0zzVnPKoRaRERERERERORn518pbFu0aJEmpDcjJk+eTNWqVbGzs1PLC6uuuA0ICOD9+/fZej0MDQ3ZuHEj165do1ChQrRu3ZpevXpRs2ZN3rx5g42NDe/evcuwcmlekJ2oVeLu7s6nT5+YP3++2nNLJBLMzc2xs7Pj+PHjxMfHc/bsWcaNG8fDhw8ZN24cVatWxdjYmPHjx7N///40Ydnh4eE8f/6cOnXqMGDAAFXI78WLF9m+fTsVK1bMcn2pVMqXL1+4cOFCmj63uRW3jo6OlClThilTpuR4jtyizBO/desWv//+e47myEjUQqq3tUKFCtlWoW7WrBnXrl1j/fr1KBQKTE1NcXFxUfWz/fZ34/79+6xbt44+ffpQpkwZrK2tcXV1JX/+/Li7u3P79m2ePXvGli1bGDJkiEa5nV+/fsXW1pbGjRvTv3//DMf8HeK2cOHCeHh4cODAAdasWUOxYsV4//49lpaW/Pbbb3Tp0oXo6GimTJlC/vz5s5xLJpNx5swZkpKSMjyeE1H7+vVrnJ2dGTVqFBYWFpmOk8vlNGzYMNuPCSIiIiIiIiIiPyP/SmFbvHhxGjRokKX3KH/+/Hh7eyOXy9UWO+qIW4VCgZ6ento9SuvVq8fly5fZunUrV65cYciQIejq6rJ161amTZuWrYjLCeqKWoBy5coxc+ZMli1bxp07d3K0Xr58+WjRogWurq4EBATw+vVr9u/fj0wmQ6FQ0LNnT0qVKkWDBg2YNWsWy5YtQ0tLi9GjR+Pv78+GDRu4du2a2p7rGjVqUK5cOdWHjbwQt6dPn+bgwYN4enpm6in+u6hXrx7Dhg1j1qxZ6fK0syMzUQvqVaFWoq2tzYgRI4iOjmbChAm4uLiwa9cunj59ytKlSxk/fjy//PIL1apVY9y4cTx69Ijx48dz7tw54uLiOHbsmKpVT05bMq1bt47bt29n6YWEv0fc9uvXjyZNmrBr1y4KFSpE27ZtKVKkCNeuXWPDhg2ULVtWrXlkMhkJCQkEBgamO5YTUQswZ84cUlJScHV1zXRMcnIy/v7+Yn6tiIiIiIiIyP8s/0phC3+F9CrzVzOiU6dOyGQyHBwc+Pz5s1rzZidu5XI5rVu31qharkQiYeDAgURGRuLk5ERSUhKCIFCuXDmN8lLVQRNRq8TOzo6KFSuqKs7mFj09Pbp3787KlSuJjo7m/v37rFmzhqpVq7J06VLWrFlDSkoKhoaGTJ48GWtra43Ej7JK77ce+9yIW6VnsEmTJvTt21eja/1RuLm58fnzZ4086VmJ2ufPnxMaGqpxfmX+/Pnp0KEDI0eOVP0O2dracuzYMdq1a8f+/fuJjY0lICAAFxcXmjdvTr58+TRaIyPi4+OZPXs2w4YNw9raOtvxP1rcvn//nipVqvDp0yfevn3Ltm3buHTpEvXq1dNoHisrK0qUKJEu2iSnovb27dusXr0aZ2dnVb56RnwbQi0iIiIiIiIi8r/Iv1bYSqVS4uPjCQ4OznSMRCJhyZIl3L9/n6VLl6o9d2bi9u3bt1y7di3HL4dFihShefPmKttGjx5N48aNuXr1ao7m+56ciFpIzQv28vLi+PHj2fbizQlVqlTB0tKSp0+fkpCQgJaWFs2aNcPIyIj58+dTu3ZtDA0NGTRoEJs2beLp06fZzplRld6citu1a9cSFhaWrWfw78TQ0JCZM2eyfPnyTNtHfUtWohZSPdJAtsJWEARu3brF4sWL+fXXX9HX16dVq1bs3buX9u3bU758eQoXLsyTJ09ISkqiSZMmlChRIsfXmRnz5s3j8+fPuLm5qX3OjxC3KSkp+Pn5YWpqyu7du4FUsd++ffscPSva2tq0bt06TbRJTkWtIAjY2tpiZGTEpEmTshyrUCgoVqyYxkJcRERERERERORn4V8rbJVtX7IrxFKrVi1+++03XFxcePHihdrzZyRuz549S3Jyco6FrdIzaGlpiSAILFq0iMTERBo2bMiQIUN49uxZjuaFnItaJd27d6dVq1bY29vz5cuXHNvxPS9fvmT06NFYW1sTFxfH4sWLSUlJUYWJx8fHI5fLGTp0KBEREYwYMYIKFSpQs2ZNJk+ezJEjR3j37l26eZUCTSnYlGgqbuPi4pg9ezbDhw/Hysoqz647L7C1taVSpUrZ5olnJ2ohfRXqb1FWvB44cCBly5alTp06zJo1i+TkZObOnUtwcDAvX75k586djB8/HolEgre3N3v27MHY2Bhvb+88fWbCw8NZvnw5s2bNUrX3UZe8FLcBAQE0bNiQYcOG0axZMwYPHky5cuX4+vUr8+bNy/G8UqmUgIAAEhIScixqAQ4dOoS/vz9LlizJ1ksul8tVbZ5ERERERERERP4nEf7FdOrUSWjZsmW242JjYwV9fX1hxIgRgiAIQlBQkAAIQUFB2Z7r7e0tAMLUqVOFCRMmCFWrVs2xvcuWLRMkEolw/fp1oVy5coK9vb3w9etXYe3atUKpUqWEwoULCwsWLBA+ffqk0bxLly4VAMHR0VFISUnJdnxm13/z5k1BS0tL8Pb21mj9jPj8+bPg6ekpFC1aVNDT0xOWLVsmJCUlCbNnzxb09PSEr1+/ZnheTEyMsGvXLmHUqFFC5cqVBUDQ0dERmjRpIsydO1e4ePGi8OXLF0EQBMHMzEwYPnx4hvN8+fJF6NGjh6CrqyscPnw4UzsnTZokFC1aVHj+/Hmur1kQNHu21OHAgQMCIBw9ejTD4ykpKYKDg4MACMuWLct0TLly5QQHBwdBEATh7du3wqFDh4RJkyYJ1atXFwBBIpEIVlZWwtSpUwWFQpHpMxgQECAAwsWLF4WYmBjht99+E7S0tAQTExPh6NGjaj1/WZGSkiK0bdtWMDIyEhITE9MdV/f+vnv3TmjcuLFQrFgx4erVqxrZ8OTJE2HQoEECIFhYWAjnz58XBOGv523RokWCtra2EBYWptG8SqKjowVA2L17t9C0aVOhaNGiwuXLl9U6V3n9ly9fFqpVqya0b98+23uekJAg6OrqZvp8iPy3AMRN3MRN3MRN3H6qTe3/w37g/4//OL6+vkK+fPmE9+/fZzt2xYoVKlGpqfhQilt9fX1h9OjRObL19evXgp6enjBq1ChBEARh6NChQu3atVXH4+PjBXt7e0FHR0eoUqWKsHfvXrVEgqaiVhCyFgfjx48XihcvLrx69UrNK0tLSkqKcOTIEcHY2FjQ1tYWJk6cKLx+/Vp1vFGjRkKvXr3Unis6OlpYuXKl0KNHD6FEiRICIBQtWlTo3Lmz0LJlS8HAwEBITk7O8PzsxG1oaKigra0teHh45OhaMyKvhW1KSorQpk0bwdjYWPj8+XO6Y9mJWkEQhJCQEAEQBg4cKDRu3FjQ1tYWAKFKlSrC6NGjhV27dgkxMTFq2fP161ehRIkSwty5c1X7bt26JbRu3VoAhPbt2wvh4eE5u1hBEI4cOSIAwsGDBzM8rsn91VTcfvz4UXBxcREKFSoklC5dWli3bp3qA8yzZ88EQNi+fbuQmJgoGBkZCW3bts2RkE9JSREqV64sGBoaaiRqBeGv6584caKgo6Oj1r0+fvy4AAh37tzR2FaRfx//9MuLuImbuImbuInb95u6SP7/P7J/JeHh4dSqVYsTJ07Qvn37LMd+/foVCwsLihcvjq+vL9bW1gQFBald3XjOnDnMnz+frl27cuDAAY1DfSdNmoSfnx/R0dEYGBiwbds2Bg0axIsXLzAwMFCNi4yMxN7enuPHj9OyZUt8fX2pXbt2hnPmNPw4ODgYKyurDK//9evXGBsb07dvX1avXq3RNUZERGBnZ8fJkydp06YNPj4+mJmZqY6/ffuWkiVLsnLlSsaMGaPR3JBa2TUoKAi5XI5cLufSpUt8/fqVsmXL0r59e6RSKVKpNM39TEpKol+/fhw5coR9+/bRuXNnAARBoF27dty7d4+wsLBs27SoS1b3Nqfcvn2bunXr4unpib29PUCW4ceCIHDnzh3kcjkKhYJTp07x+fNnihcvrrpHMpmMatWq5ShPtGfPnrx8+ZKLFy+mWfPQoUM4ODjw6NEjJk6ciLOzM3p6emrP++XLF8zMzKhUqRJyuTxD2zS9vwkJCbRv357Q0FDkcjn169dPN0YQBPbt24ejoyPPnj1j8uTJzJ49m+LFi6vGbN26lcGDB/Py5UvKlCnDoUOH6NatG0eOHKFTp05qXyOk5tT+8ssvxMTEcPHiRY3Cj5XXX7BgQcaMGYOPj0+259jb27Nnzx4ePXr00+SQi/xzSCQSPiX9868FBXVTn8WfwRb4uewRbcmYn8kW+LnsUdpSoO6Ef9gSSAxZAfxc9+VnsAV+Lnt+NlvUlav/2hxb+KvtS1Ztf5To6Ojg4+PDpUuXOHXqlMZrValSBUjNa8uqz21GhIaGsmrVKpydnVWiq02bNkD6HFFTU1OOHTvG8ePHef78ORYWFowfP56YmJg043KbU5sZpUqVYu7cuaxdu5aQkBC1zomPj8fGxgZzc3Oio6M5ePAgcrk8jagFVDnKmlbmVaKtrU39+vWZOXMmZ8+e5enTp2hra1OjRg2CgoIYNGgQZcuWpXbt2jg4OPDHH3/w5cuXDHNujx49ilwux9vbO89E7Y/C3NyccePGMW/ePF69epWhqH3x4gXbtm1j2LBhVKxYkZo1a+Lo6EhCQgJVqlTBysqK2NhY9u7dy7hx4zAyMsrxM6PMEf0291kikdCtWzfCwsJwcXFh3bp1GBsbs3r16iwrl3/LsmXLuHv3Lj4+Pnn2PGeXcxsSEkKrVq3o3bs35ubmhIaG4uXllUbUQvoc5S5duiCVSrGzs9Mov1iZU/v27VtSUlKoVKlSjq4rX758zJkzR62xCoVC7TZPIiIiIiIiIiI/K/9qYSuRSJDJZNkWkFLSpk0bunXrhq+vr8ZryeVyrK2ts+1z+z3C/1curVatGpMnT1btL1u2LObm5pna/uuvv3L79m0WL17Mjh07MDExwdfXl6SkpB8mapX89ttvmJqaYmtrm+U1fv36lVWrVmFsbMyGDRtwc3MjPDycrl27ZmiTXC6nWrVqVKtWLU/sLFOmDE2bNqVo0aLcunWL58+fs3XrViwtLdm5c6eqqm/btm2pU6cOTZo0oUePHuzfvx97e3tkMpnKg/uzM3/+fLS1tZk5c6ZK1I4fP5579+6lqSp948YN+vbty4kTJ4iPj+fUqVM8ffqUnj17atSiKitkMhnJycmcO3cu3bECBQowbdo0oqOj6dy5M+PHj8fS0pIzZ85kOefLly+ZP38+48ePT/dBJLdkJG5jYmIYO3YsVlZWvHz5khMnTnDkyBFMTEzSnS8IgqoHsJKcVFz/tlDU/v37kUgkan2U+5awsDAg9XdUHW/4ixcvuH37ttjmR0REREREROR/nn+1sIVU79H3bV+ywsvLi7i4OI3WSElJQaFQqDw0mojbw4cPc/r0aby9vdNVLlX2Ys1sDl1dXWxtbYmOjqZv377Y29tTsWLFHypqlev6+Phw7tw59u3bl+EYf39/LC0t+e233+jSpQvR0dFMmTIlS++nXC7Psbc2M6RSKWfOnFGFJA8cOJBNmzbx5MkTwsPD8fT0pGjRonh6enL27FkkEgk9e/bk7t272NnZ5aktP5ISJUowfPhwfv/9dxYvXoyWlharVq1i9+7dWFlZsXXrVp4/f87NmzdZvHgx7du3p3Dhwly9epX379/n6X03MjKicuXKWX5QMjQ0ZOPGjVy7do1ChQrRunVrevbsyf379zMcP2vWLLS1tXNVbTgrlOK2Vq1atGjRgqpVq7J7926WLFnCrVu3skxliIiI4Pnz5+nuoZmZGePHj2f+/PnZ/v35vvrxr7/+ioWFhUbCVhAEPD09gdQq5uqgnF8ZISIiIiIiIiIi8r/Kf0LYQvqQ3swwMjJi4MCBADx//lytc27fvk1MTIzK66GuuP38+TMODg60a9eOjh07pjsuk8l4+vQpkZGRWa5funRpVq9ejZOTk+oFOiIigujoaLXszwnt2rWjU6dOODo68unTJ9X+e/fu0aNHD9q0aUORIkW4du0aGzZsoGzZslnO9+jRI6KiovLccySTyUhISEgXYiqRSKhRowaTJ0/m8OHDxMXFcfHiRVUuqiAIdOjQgWrVqjFmzBh2795NbGxsntqWGwRB4M8//2TVqlX07NmTkiVL4u3tDUChQoVYsmQJERERPH78mI0bN6pa9XyPXC5HT08vz/J94a9ICXVEWb169bh8+TJbt24lICCAGjVqMHPmTN6/f68ac+PGDdavX8/8+fMpWbJkntn5PRcvXuT169ckJiaSlJTErl27mDx5Mrq6ulmeJ5fLyZcvH82aNUt3bN68eejq6jJz5sxMz8+spY/yHqqb1rB9+3Zu374NoLb3XaFQZNrmSURERERERETkf4l/vbAtW7YsZmZmaocjA4wYMQJIzelTB7lcToECBWjcuLFqnzri1tfXlwcPHuDt7Z2hZ7V58+bo6uqqZfuyZctYtGgRDg4O7Nmzh7CwMGrVqoWjoyNv375V6zo0ZfHixTx79gxvb28SEhKYMWMGNWrUIDAwkG3btnHp0iXq1aun1lwKhQKJRELr1q3z1EYrKyuKFy+e7T3U1dWlSZMmvHv3Dj09Pdq1a4e2tjZmZmZcuHCBvn37Urp0aaysrJg2bRqnT58mMTExT23NjtevX7N7925Gjx5N1apVMTY2ZtKkSbx48YKaNWsCMG7cOD5+/IihoSHVq1fP1mMvl8tp3bp1noUhK5HJZERERPDkyZNsx0okEgYOHEhkZCROTk54e3tjYmLCli1bSE5OxsbGhho1ajBu3Lg8tVFJZGQkHTt2pEOHDlSoUIHLly9jbW1N79691epzq1AoaNq0KYUKFUp3TF9fn3nz5rFhwwaCg4PTHc+qT61UKuXFixeEhoZma8OHDx+YOnUqrVq1ynasEmUIdV5HSYiIiIiIiIiI/BP864UtaO75KFy4MAAnT57kwoUL2Y5XKBQ0b96cAgUKpNmflbh98eIFLi4uTJgwQSVKMrKjcePG2Xq+vs2p9fT0pFevXoSHhzN37lxVjuu6devULtKjLiYmJkyaNIn58+fzyy+/sGTJEqZNm8adO3cYMGCARmHQCoUCKysr9PX189RGHR0dWrdurZb3MCgoiA0bNuDi4sKRI0fo2rUrJ0+exMPDg8ePH7NhwwaqV6/Oxo0bkUql6Onp0bZtWzw8PLhx4wYpKSl5antiYiIKhYKpU6diZWVFmTJl6Nu3L5cuXaJLly4cPnyY2NhYGjVqxJUrV1i2bBmrVq2ic+fO6TzpGfH27VuuXbv2Q/IrW7dujUQiUTtSAqBIkSK4uLgQERFB06ZNGTJkCNWrV+fChQv4+Pigo6OTpza+efMGe3t7zMzMCA8PZ9++fZw+fZpGjRplWVDqW5KSkjh79myW4nDcuHHUrFkTGxubNH8DshK1AE2bNqVAgQJqPbuLFi3i9evX2NraZn/h/8+dO3d49uyZmF8rIiIiIiIi8q/gPyNsnzx5km1I7/coX0azEoSJiYmcP38+05fDzMTtjBkzyJ8/P3Pnzs3W9jNnzpCUlJTh8cwKRRUsWJCZM2cSFRVF+/btGTNmDNbW1pw/f16NK1ePgIAAzpw5w5cvXyhYsCB37txh3rx5qg8D6qLMUf5RL9gymYyAgAASEhIyHSMIAjY2NtSsWZOxY8eiq6ubplryjRs3GDZsGNu2bePFixfcvHmTBQsWoK2tzdy5c7G0tMTAwIB+/fqxfv16Hj58qLGdKSkpBAcH4+HhgUwmQ09PD5lMhp+fHzVq1GDjxo08fvyY8PBwli5dSqdOnXBxcUnX0mfx4sU8f/4cLy+vLNdTVqH+Efe9VKlSWFhYaBQpoaRKlSrs3r2bP/74Q3Uft2zZwrNnz/LEtuTkZNauXYuxsTFr165l/vz5RERE0KNHD9XvT3bVkpUEBATw/v37LO+hsuL6xYsX2b17N5C9qIXUQltNmzbN9h4+ePAAT09PHBwcqFChgrq3IcsQahERERERERGR/zX+E8JWGdKraYVRJycnbty4waZNmzIdc+XKFT59+pSlx+Z7cXvt2jU2btyIi4tLtpVLpVJphjmioF5Ln/Lly7N582auXLlCvnz5aNGiBX369MmR8FLy9OlTBg8erHoZnzJlCg8fPsyx8Lh16xYxMTE/LCRSKpXy9evXDKv0Ktm1axeXLl3C19dX5Rn8XtwqWwFJJBJq166Nvb29qrrwmTNnGDNmDPfv32fMmDFUqVIFExMTJkyYwIEDB3jz5k2G6z58+JDff/+dfv36YWBggJWVlSovc8GCBWmqOQ8dOlQlXLLqU2tsbIytrS3u7u48fvw402tWKBRUrVo1z6pQf49UKtUoUuJ7rl69iiAIuLq6cuLECUxMTHBzc8tVCPjZs2exsrJi7NixdOjQgaioKKZPn54u2gLUE7cKhQI9PT0sLCyyXFcqldK1a1ecnJx49epVtqJWiUwm49y5c1m2DJoyZQp6enpMnz49Sxsysr1JkyYZhlCLiIiIiIiIiPyv8Z8QtsqQXk29R7Vr12bgwIHMmDEjTU/Ob5HL5ZQuXZratWtnOde34rZHjx6YmZkxevTobG2wtramRIkS6US5pi19GjZsyJUrV/Dz8+PixYtUr14dZ2dnPnz4kK0NSj59+oSrqysmJiacPHmSdevWERgYiJubGxYWFtjY2OQoHFehUFCwYEGaNGmi8bnq8Msvv2RZpffjx484OTnRrVu3dNVhMxO335I/f35atmzJggULuHr1Kq9fv2bv3r20adOGkydP0qNHD0qWLEnDhg3x8fEBYMGCBRgbG1OlShXGjh3L/fv3GTt2LGfOnCEuLo7jx49jb2+Publ5up9tVqJWyaxZsyhatCjTpk3L9L5836Imr5HJZLx8+VKtHNHvefz4MQsXLsTe3p6ZM2cSHR3N2LFjmTNnDjVq1GDfvn0aCeYHDx7Qu3dvWrVqRYECBQgICMDPz49y5cpleV524lYul9OmTRu1cpS9vLx4+fIl9erVU0vUQuo9/PjxI1euXMnw+Llz59izZw+LFi2iSJEi2dqgRBlCLYYhi4iIiIiIiPxb+E8IW/ir7UtmIb2ZsXDhQt6/f4+rq2uGx5Uvtlpa2d9KOzs7Bg0axNOnTzEzM1PrZVhbW5vWrVunEWU57VOrpaXFkCFDiIqKwt7eHg8PD0xNTdm+fXuWIkEQBPbu3UuNGjWYP38+v/32G9HR0YwaNQptbW20tbXx9fUlMDCQrVu3qmXLt8jlcpo3b55lK6DcIJFIVK2TMsLT05NXr15lGrqrjrj9Fj09PXr27MmqVasIDw9nx44dtG/fnujoaLZs2QLAgQMH+PLlC8OGDeP8+fMEBATg6upKy5Yts7wP6ohagGLFiuHm5sb27du5fPlyuuOPHz8mMjLyhxYOUuaI5iQcedq0aRQrVkxVTbhEiRIsXryY0NBQatWqRa9evWjdujW3bt3Kcp4PHz4we/ZsqlevzuXLl9m8eTOXL1+mQYMGatuSmbjVNEe5bNmylClThkePHrF58+ZsRS1AnTp1KFWqVIb3MDk5GVtbW+rXr6+q5K4uV69eJSEhQSwcJSIiIiIiIvKv4T8jbJVtXwIDAzU6r0KFCkybNg0fH5907XPi4uIICgpS+8X2w4cPnD17FnNzc3bu3KlWn1tIFeUBAQG8e/cux6L2W4oUKcKCBQsIDw+nQYMGDBw4kKZNm2Z4b0JCQmjVqhW9e/fG3Nyc0NBQPD09KV68eJpxzZo1o0+fPkybNi3LXNbvSUxM5MKFCz/8BVtZpffp06dp9j969IhFixZhZ2eHkZFRpuerK24FQeD27dssWbKEDh06oKenR//+/bl69SpSqVQl1CZOnIixsTE7duygadOmlCtXjsGDB7N58+ZMQ7rVFbVKhg0bhqWlZYae9B9VhfpblDmimqYAXLp0ie3bt+Pm5kaxYsXSHDM1NeXo0aMcP36c58+fY2Fhwfjx44mJiUkzLiUlha1bt2JqaoqnpyeOjo5ERkYyePBgtT5CfU9G4laZo6zOs6vMqX3z5g36+vqqXNvs0NLSok2bNhneww0bNhASEoKvr6/G16QMoc7LNk8iIiIiIiIiIv8k/xlha21trVbbl4xwdHTE0NAQBweHNPv9/f0RBEFtUebh4cGrV684ePCgWn1ulchkMpKTk3F0dMy1qP2WatWqsW/fPvz9/UlISKB+/foMHz5cJRIWLFiAlZUVL1++5MSJExw5cgQTE5Msry8+Ph53d3e1bbh8+TKfPn364SGRyhDj7wXC1KlTKV68eJZ9RpVkJm6fPn2Kn58fgwYNwtDQkNq1azN9+nSSkpJwdnYmKCiIV69esWvXLnr06AGkik6FQkF8fDynTp1i8ODBhIWFMXToUMqXL0+tWrWwtbXl6NGjJCQkaCxqAZUn/fr162zevDnNMblcjpWV1Q/tCwt/5Yh+/vxZrfEpKSnY2NhgZWXFsGHDMh3366+/cvv2bRYvXsyOHTswMTHB19dXFZExYsQIBg8eTMOGDYmIiMDV1VWjUN2M+F7cbt26lWrVqmWbo/xtoahTp07h5eXFjh07uHjxolrrSqVSAgMDiY+PV+178+YNM2fOVF2jpmgSQi0iIiIiIiIi8r/Af0bYKkN6NfUeQWqFYS8vL44cOcLJkydV+xUKBSYmJlSqVCnbOR4+fIiHhwcODg5Uq1ZNrT63SoyMjNDX12fdunV5Jmq/pVWrVgQHB7Nq1SqOHDlC586dgdR2R0uWLOHWrVu0b98+23kqV67MlClTWLx4Mffu3VNrbWWOsrm5ea6uITuUVXq//flfuHCBnTt34u7uTtGiRdWaR1dXl3Xr1mFtbU23bt2oWLEiFSpUYNiwYYSHhzN06FDkcjnx8fHI5XKmTp2KpaVlph61ggULIpPJ8PDwIDg4mFevXrFz504aNWrEgQMH6Ny5M/r6+lSsWJHFixdjZ2enUT/Xpk2b0q9fP6ZNm6bKE1dWof47wlClUmmWOaLf4+fnR1BQkFpeSF1dXWxtbYmOjqZv377Y29urrunTp0+cOXOGvXv3UrVq1Vxfh5Jvxe3+/fuzza3PqPrx0KFDsbKyUjsnXSaTkZKSwtmzZ1X7XFxc+Pjxo0YfkZS8e/dOFUEgIiIiIiIiIvJv4T8jbEG9ti+Z0atXL5o3b46dnZ3KK6RJ8Z2MKpeqK26XL19OXFwc+vr6eS5qlejo6FC5cmX09PRU11esWDEqVaqkUf/QKVOmUKZMGRwdHdUarxRYOQkP1ZRv+xmnpKRga2uLtbU1Q4YMyfK8pKQkLl++zLx582jWrBkGBgZcuXKF/Pnz8+zZM1Wl2+DgYBYtWoRUKqVgwYI5srF06dL07duX33//nQcPHhAZGUmLFi14+vQpBQsWZMmSJZQsWZJu3bqxfPlyIiMjs/X4L1q0iHfv3uHm5gbA7du3iYmJ+VsKB9WtW5dSpUqp9UHp3bt3TJ8+nf79+2tUSKxo0aJUrlyZfPnyqXr3GhgYZFsYKqcULVqU33//nZSUFE6ePJlpK6DMWvpoaWmxdOlSgoODs6y4rqRy5coYGxurok0iIyNZunQpM2bMoHz58hrb/yPbPImIiIiIiIiI/FP8p4Stsu3Lt54PdZFIJPj4+HDnzh1Wr17NvXv3uHfvnlpejwsXLrB7924WLlyYzjOYnbhV5tR26tSJuLi4dDmieUFkZCQdO3akQ4cOVKxYkZ07dwKp/US7d++OTCZTu7Jt4cKF8fDw4MCBA/j7+2c5NjY2VqMc5dwilUp58eIFoaGhbNq0ieDg4Aw9g4IgcOfOHZYvX07Xrl0pWbIkTZo0YcmSJZQuXZqlS5cSFRXFmzdv6NatGz4+PgQEBPwQm9euXcvp06dZtmwZ796948qVKzg5OREfH4+9vT3Vq1encuXKjBgxgh07dvDq1at0c1SqVIkpU6awZMkS7t69i1wup0CBAjRu3PiH2PwtyhxRdVIA3NzcePfuHYsWLVJrbkEQOHDgADVr1sTZ2Zlx48ap1rl//z61atXC0dGRt2/f5uoaMkL58zY3N8+wWnJ2fWobN27MgAEDsqy4/i3fFj9T9qu1t7fPke1yufyHtnkSEREREREREfkn+E8JW2Xbl5yEIwNYWFgwatQonJ2dOXjwINra2rRq1SrLc5KTk7GxsaF+/foMGjQowzGZidtvC0Vt2LABiUTC6dOnc2R7Rrx58wZ7e3vMzMwIDw9n3759nD59GmNjY9X6R48e5dGjR9SpU4eJEycSGxub7bz9+vWjcePG2Nra8vXr10zHnTlzRqMc5dzStGlT8ufPz9GjR5k+fToDBgxQibuXL1+yfft2hg8fTqVKlahRowb29va8ffuWKVOmEBAQwOvXr9m/fz/jx4/H2NiYfPnyaVQtWRMyyqnV0dGhYcOGzJo1i3PnzhEXF8exY8fo2bMngYGBDBgwAAMDA+rWrYujoyMnT57k48ePQFpPukKhoHnz5hn2bv0RSKVSrl+/niZH9Hv+/PNPlixZwtSpU6lYsWK2c96+fRupVEqPHj0wNTVVFexSFjXbs2cPc+fOZdWqVRgbG7Nu3TqSk5Pz7JrkcjnW1tYoFIp01ZKzE7VKFi5cyLt371iwYEG268lkMv788082bdrEsWPH8PLyyvHPT6FQiN5aERERERERkX8d/ylhK5FIkMlkOSogpcTV1ZWUlBRWrlxJ/fr101UH/p6NGzdy48YNfHx8sgy3/V7cLl26NE2hqNKlS2NhYZEr25UkJyezdu1ajI2NWbt2LfPnzyciIoIePXqkCXOWSCR07NiR0NBQPDw82LJlC8bGxixbtizLtkkSiQRfX19u377NunXrMh0nl8sxNTVVS8jkBQULFqRp06asW7eO9+/f0759exwdHalTpw5ly5Zl4MCBXL9+nd69e3P8+HHi4uI4e/Yss2bNokGDBhmGZGvaCkgd1C0UVaRIETp06MCSJUu4ffs2z549Y8uWLdSpU4ft27fTvn179PT0aN26Nb6+vowbN46DBw9y5syZvzW/UpkjeubMmUzHODo6YmBggJOTU5ZzvX79mt9++426devy5MkTjh07xokTJ6hevXqacQUKFGDmzJlERUXRvn17xowZg7W1NefPn8/19ShzlGUyWbqCUmfPnlVL1AJUrFiRadOmsWTJknQV17+nVatWaGlpMW3aNFq2bKkqQqYpT5484c6dO6KwFREREREREfnX8Z8StpDqPcqo7Yu6lClThtmzZ3P37t1sCx69ffuWGTNmMGjQILV6Vn4rbm1sbHBwcEiTUyuVSlU5ojnl7NmzWFlZMXbsWDp06EBUVBTTp0/P0vuTL18+HBwciI6OplevXtjY2FC3bt0sRba1tTXDhw9n9uzZxMXFZThGLpf/bQIrOTmZwMBAPn/+zP3790lMTGTIkCHs2LEDCwsLtmzZwvPnz7l9+zbe3t78+uuvalfRzUtxm5Pqx0oMDQ0ZNGgQfn5+PH36lLCwMDw8PChcuDBubm7MmjULbW1tvnz5Qnx8vNoFvnJL5cqV+eWXXzJ9XuRyOYcOHcLT05NChQplOCYpKYmlS5dibGzMtm3b8PLy4vbt23To0CHLtcuXL8/mzZu5cuUK+fLlo0WLFvTp04eHDx/m+HqUOcrKZ1cpbmvUqIFUKiU4ODhbUatEWXE9u5z0EiVKULFiRV6+fImPj0+O8+yVbZ6yizQREREREREREflf4z8nbDNr+6IJysI2169fz1Jkuri48OHDBxYuXKj23N96Bb9vxSGTyXj58qXa+a7f8uDBA3r37k2rVq0oUKAAAQEB+Pn5aVRgp0yZMqxdu5agoCBKlixJ27Zt6dq1K3/++WeG493c3Pj8+TPz5s1Ld+zevXvcv3//h3qO7t69y5o1a+jVqxelS5emfv36XL58GYAxY8YQFhbGkydP2LRpE4MGDaJs2bI5XisvxG1uRO33SCQSatasiY2NDUeOHCE2Npbz589jZmYGpBaUMjIyolq1aowdO5a9e/dm+gEiL1AW7vqer1+/YmdnR9OmTenTp0+G5548eZI6depga2tLnz59iI6Oxs7Ojnz58qm9fsOGDbly5Qp+fn5cvHiR6tWr4+zszIcPHzS+FrlcTsGCBdMUuJJIJEgkEgRBQCKRqN1Gp1ChQnh6enL48OEsPxTFxMTw4sULChQokKsK4n9XmycRERERERERkb+b/5ywVbZ9yU1I79mzZ8mfPz/BwcEcOnQowzFRUVEaVy79Nqd28eLFeHh4pMm5bdq0KQUKFNDI9g8fPjB79myqV6/O5cuX2bJlC5cvX6ZBgwZqz/E9FhYWnDt3jl27dhESEkLNmjWZOnVquiI4ZcuWZfbs2axYsYLw8PA0x+RyOdra2rRs2TLHdnxPbGwse/bsYcyYMVSrVo1ffvmFCRMm8Pz5cyZNmsTixYtJSUmhaNGilCxZkpo1a+ZphenciNu8FLUZkS9fPpo1a4auri5Vq1alWLFibNmyhQ4dOnDu3Dl69+5NqVKlqFevHtOnT8ff35/ExMQ8W1+ZI/rgwYM0+9esWUN4eDi+vr7pfhbR0dF07tyZ9u3bU7p0aYKCglizZg1lypTJkQ1aWloMGTKEqKgo7O3t8fDwwNTUlO3bt2sUBaHMUc6fPz/wV05tWFiYSoRnVFAqM3r37k2zZs2yzEl3dnZGR0eHxMREQkJC1Lb1W/7ONk8iIiIiIiIiIn83/zlhC2nbvuQEhUJBmzZtaN++PQ4ODhkKAAcHB8qVK6d25dJvRa2Hhwf29vbpCkoVKFCApk2bquVtTklJYevWrZiamuLp6YmjoyORkZEMGjQoT1rrSCQS+vTpQ0REBLNmzWLZsmWYmJiwYcOGNL05bWxsqFKlCnZ2dmnut0KhUCtHOSsSExM5ffo006dPx9ramtKlS9OnTx/Onz9Px44dOXToELGxsVy6dIlZs2axfv16mjVrxq+//porj31W5ETc/mhRqyQuLo6goCAmTZpEcnIy165dY/ny5dy5c4eHDx+yfv16jI2NWb9+PW3atEFfX5927drh5eVFSEiIWj1XM0OZI/rtfY+NjWX27NmMGDECS0tL1f63b9/i5ORErVq1uH37Nnv27OHs2bNYWFjk6vqVFClShAULFhAeHk6DBg0YOHAgTZs2JTAwMNtzExMTOX/+vEocfl8oSiqVpsm5VUfcKnPSIyIiWL16dbrjN2/eZO3atcydO5dChQrl+NkNDQ3l1atXYn6tiIiIiIiIyL+S/6ywzWlI78ePH7l48SJt27bF29ubR48e4ePjk2bMH3/8wdGjR/Hy8lKrn+n3olbpucqoWrJMJuPcuXN8/vw50/muXbtGkyZNGDx4MA0bNiQiIgJXV1e1c0Y1oVChQjg7OxMZGUmbNm0YOXIk9evX59KlSwDkz5+fxYsXc+rUKY4dOwak5ruePn1a4xfslJQUQkJC8PT0pG3btujp6SGVStmwYQOmpqasX7+eR48ecefOHZYtW0aXLl1Uwnn16tVERETg6+uLVColMDAwyyq9uUETcft3iVoAf39/BEGgZ8+ezJ49m5UrVxIWFgaktgQaPnw427dv58WLF4SEhDB//nwkEgnOzs5YWFhQtmxZBgwYwIYNG3j8+LFGa5coUYJ69eqliTaYO3cuX79+VVUFTk5OZv369ZiYmLBy5UqcnZ2JiIigV69eP6R3c7Vq1di3bx/+/v4kJCRQv359hg8fzvPnzzM95/Lly3z69AmZTJZp9ePvC0qpI24tLCwYOXIkzs7OaSqPC4KAra0tJiYm2NjY0KJFixxHmyhDqP+ONk8iIiIiIiIiIn83/0lh26RJE/Lnz58jz8fFixf58uULUqmUGjVqMHHiRFxdXXn27BmQWuTGzs6OFi1a0LNnz2zny0zUKvle3LZp04aPHz9y5cqVdHM9e/aMYcOG0aBBAz5+/MiZM2fYu3cvVatW1fg6NaVixYps27aNixcvAqlh0/379+fRo0d06dIFqVSKnZ0dX758ITg4mPj4eLVCIh89esT69evp378/ZcuWxcLCgjlz5qClpYWrqys3b97k+fPnbNu2jeHDh2dYYfn169c4OzszatQoLCwsVFV6c9LPWF3UEbd/p6iFVC+5iYkJlSpVYvLkyVStWjWdJx1SQ3br1KmDo6Mjf/zxB3Fxcfj7+zNq1Ciio6MZNWoUlSpVwtTUlIkTJ3Lw4EG1esVKpVJOnz5NSkoKoaGhrFq1CmdnZwwMDLhw4QL16tVj1KhRyGQyIiMjmTVrllofhnJLq1atCA4OZtWqVRw5cgQTExMWLVqU4ccjhUJB6dKlqVq1apbVj3Mibl1dXUlOTmbOnDmqffv37+fs2bMsWbIEXV1dZDIZFy5c4NOnTxpfp0KhoFmzZn9bmycRERERERERkb+T/6SwLViwIM2aNcuR50Mul2NoaEjNmjWB1Ny3ggULMmPGDABWrlxJVFSUWpVLsxO1Sr4Vt7t370ZfXz+NKE9MTMTd3R0TExOOHTvG6tWrCQ4OztP8VXVp0qQJ165dY8OGDZw5c4bq1aszf/583NzcuH//PkuXLkWhUFCkSBEaNmyY7vw3b95w8OBBJkyYgKmpKZUrV2b06NHcvXuXUaNG4e/vT3x8PH/88QcODg7Url0729DqOXPmkJKSgqurKwBVqlTJskpvXpGVuP27RS2kPrtKL3n+/Pnx9vZGLpdnGy5doEABWrVqhZubG4GBgbx+/Zo9e/bQsmVLTpw4Qffu3SlZsiSNGzfG2dmZCxcu8OXLl3TzyGQyYmNjuXHjBnZ2dlSrVo1u3brRr18/mjdvjra2NpcuXWLr1q1UqFDhh9yDzNDR0WHcuHFER0czcuRIZs2aRc2aNTl48GAa4S+Xy2nZsiUdO3bMtqWPpuLWwMAAZ2dnVq1aRWhoKImJiTg6OtKxY0fat28PpN7Dz58/qyIi1OXz58+cO3dODEMWERERERER+dfynxS2kOo9yi6kNyOULWqUIlRPTw8XFxf8/PyQy+XMnTuX0aNHU7du3SznUVfUKlGKWw8PD8qUKcOpU6cQBIEDBw5Qs2ZNnJ2dGTNmDNHR0YwdO1btqqw/Ai0tLYYPH05UVBSTJ0/Gzc2Nnj17IpVKmT9/PseOHaNly5bo6ury5csXzp8/j7OzM40aNaJkyZJ0796dkydP0qpVK/bu3cvr16+5du0abm5utGrVSlW0Rx1u377N6tWrcXZ2TlN0SNk66UfzvbhV9lH18fH5W0XtvXv3uHfvXhoveadOnZDJZDg4OGj0e6Cvr0+vXr1Ys2YNd+/e5e7du6xcuZLy5cuzfPlymjdvTsmSJenUqRO+vr6EhYUhCAKNGjWiUKFCqo8b1tbWmJubc+7cOTZt2sTVq1f/8TBZPT09fHx8uHXrFsbGxnTv3h2ZTEZoaKgqR/nGjRtq9akFzcXtpEmTMDIywtbWlsWLF/PkyRMWL16sOl6rVi3Kli2r8UcZZQi1WDhKRERERERE5N/Kf1bYymQyPn78SEBAgNrnvHr1ips3b6bzeowePZratWszePBgUlJScHFxyXIeTUWtEqW4vXPnDoGBgTRv3pwePXpgamqq6r9aokQJta/nR1OsWDEWLlxIWFgYlpaWnDx5kk+fPnHp0iV0dHTo2LEj+vr6tGjRghUrVlCxYkVWrVrFvXv3+PPPP1m9ejU9e/ZEX18/R+sr8xONjIyYNGlSmmMymYzo6Ohc9TNVl2/FrZOTEwBbt27920QtpIahamlppelfKpFIWLJkicqTnlOqVavGmDFj2LNnDzExMQQGBjJjxgw+ffrElClTMDMzo3z58owaNQojIyN27NhB/vz52bt3L7a2tkRFRTF06NA8KWqWV9SoUYMTJ05w9OhRHj16RJ06dejbty+CIPD8+XO1+9SCZuI2X758eHt7c/r0aVxcXJg8eTKmpqaq4xKJJEcfZZQh1LVr19boPBERERERERGR/xV+njfJv5m6detSsmRJjTwfp0+fBv7qhatEW1ubSZMm8fLlSzp37kzp0qUznSOnolbJ4MGDsbKyAuDGjRscPXqUEydOUL16dY3m+TspVKgQPXr0QCqVkpycDMChQ4d49+4ds2bN4vr167x69Yrdu3czZsyYPMsJPnToEP7+/ixZsiRdz1Nlld4fHY6sRFdXlx07dmBoaAhAjx49/jZRC6mRBhlVoa5Vqxa//fYbLi4uvHjxItfraGtrY21tzfTp0zl9+jTx8fGcPHmSgQMHcvXqVW7fvk1SUhLa2tqqasQ/ojBUXiCRSOjYsSOhoaG4uLiofv/HjBmDtbW1RnNpIm47duxIuXLlSEpKYsqUKemOS6VSbty4wevXr9VeXxlp8jN9PBARERERERERyUv+s285WlpatGnTRiPPh0KhoFatWpQrVy7NfkEQ2L59O0WKFOHMmTO8f/8+w/NzI2qTkpJYunQpxsbGREdHU7hwYT58+MCFCxdy3LboR5GQkMCxY8ewtbVVeeuGDh3K69evsbCwQCKRoKWlxc2bN9HW1sbMzCzPQ6cTExNxcHCgffv2dOjQId1xPT09rK2t/5ZwZEh9RmbMmKGqJnz48GGN+tzmhuTkZPz9/TPNr5w7dy66urrMnDkzz9cuVKgQtWvXJjY2lqioKNX+Zs2acfr0aTp16qTy2ru4uBAQEJBpL9d/ii9fvnDixAkEQaBKlSr4+PhQt25djT+KqCtur169qipGt2nTpnTHpVIpgiDg7++v1rrx8fFcv35dDEMWERERERER+VfznxW2kBqOqm7bF0EQ0hTf+ZYDBw5w5swZli5dSmxsLIsWLUo3Jjei9uTJk9SpUwdbW1v69OlDdHQ0Q4YMoVSpUmlaAf1TfP36lStXruDi4kLz5s3R19enU6dO7N+/nwYNGrBjxw5evnzJjRs3SE5Opk2bNiQnJ9O4cWOmT5+OmZkZR44cydNr8PHx4dGjR3h7e2d6r2UymapK74/k20JRSg9c8+bN1e5zm1tu3LhBXFxcpsJWX18fFxcXNm7cSFBQUJ6t+/nzZzw8PDAxMeHQoUM0bNgQfX19DAwMqFOnDg8fPuTOnTssWbIEPT09vLy8aNSoEaVKlaJ79+6qQmz/5LOtbOlz48YNIPW5CgoKomTJkrRt25auXbvy559/qj1fduI2JSUFGxsb6tatq6q4/n37ofLly1OzZk21hbWyzZMobEVERERERET+zfynha1UKiUlJYUzZ85kOzYqKorHjx+nezlUegY7dOjA8OHDcXR0xMvLiwcPHqjG5FTURkVF0blzZ9q3b0/p0qUJDg5mzZo1lClTBqlUyuvXr5k1a9bfLm4FQSAyMpIVK1bQrVs3VUVcLy8vSpYsiY+PD5GRkTx8+JD169fTr18/ypQpw8uXL7l58yZDhw6la9euhIeHExAQQJUqVejSpQvt27cnPDw81/Y9f/6cBQsWMHHiRGrUqJHpOOU9vHnzZq7XzIzvqx/37dsXADc3N7X63OYFCoWCwoUL06BBg0zHjBkzhlq1amFjY5Pr50gQBA4fPkytWrWYMWMGw4cPZ/fu3QQEBODq6opMJkMulyORSDA1NWXChAkcPHiQ2NhYLl++jL29PbGxsdjY2GBqakqVKlUYOXIkO3fuJCYmJle2acK3fWonTJiAtrY2LVu2xMLCgnPnzrFr1y5CQkKoWbMmU6ZM4d27d2rNm5W43bZtG9euXcPX15e5c+eSP39+VcX1b5FKpcjlcrV+VnK5XNXmSURERERERETk38p/Wtgq276oE46qUCjQ0dGhRYsWafYvWbKEJ0+e4O3tDcC0adPQ09NTeeZyImrfvn2Lk5MTZmZm3L59mz179nD27Nk0lZZbt26NlpYWlStXTtPn9keJ21evXrFjxw5GjhxJ5cqVqV69Ora2tsTFxeHo6MiVK1eIjY3lwIEDTJgwARMTk3TXqgydbNOmDV5eXrx48YLjx49z6tQpDh06xN27d6lduzY2NjbExcXl2NYZM2aQP39+nJ2dsxynrNL7o/Jss2rpo06f27xC2aLm+zzjb9HR0cHHx4dLly6xa9euHK8VFhZGu3bt6Nq1K9WqVePWrVv4+Pjg7OyMmZkZo0ePzjRHVEdHh0aNGuHs7Mz58+eJi4vj6NGjdO/enYCAAPr370+ZMmWwsLBgypQpnDp1Kkf9XNXhW1F78uRJ7t27lyZHWSKR0KdPHyIiIpg1axbLly/H2NiYDRs2qBUBkJG4ff/+PVOnTqV37940b95cVXF906ZNBAYGpjlfJpPx8OFD7t69m+1aCoVCbPMjIiIiIiIi8q/nPy1s4S/PR3bI5XIaNWpEkSJFVPuePXvGggULmDRpkqpyaZEiRVi0aBF79uxh8uTJGona5ORk1q9fj4mJCStXrsTZ2ZmIiAh69eqV7twSJUpQr1495HJ5mj63eSlur1y5gpOTExYWFhgYGDBgwACuXr1Kz549OXr0KPHx8Zw/f57Zs2fTsGFDdHR0spxPLpdjZmaGoaEhv/zyC3Z2dixcuJAnT57QpUsXwsLCcHNzY8OGDRgbG7Ny5UqN8y0DAwPZtGkTrq6u6OnpZTk2f/78NG/e/IcIW3X61P4d4vbjx49cvHhRrTDUNm3a0K1bN5ycnPj48aNG68TFxTFp0iTq1KnD/fv3OXz4MCdPnqRmzZrs3LmTy5cv4+Pjg46OjsoWZTGmzChatCgdO3bEx8eHsLAwnj59ip+fH+bm5mzZsoV27dqhp6eHVCpl4cKFBAUF5UlY+feitn79+pw+fTpDcVioUCGcnZ2JjIxEKpUycuRI6tevr1af2e/F7aRJk4iPj8fDw0M1ZvTo0Zibm6fzpLdo0QIdHZ1sn9379+9z9+5dMQxZRERERERE5N+P8B9n3759AiDcv39ftS8oKEgAhKCgIEEQBCEpKUkoVqyYMH/+/DTnDhkyRChVqpQQHx+fZn9ycrJQuXJlARDs7e2FlJSUbO04f/68YGFhIQDCwIEDhcePH2d7zsyZM4WSJUsKycnJgiAIgre3twAIU6dOVWvNb/n69asQGBgouLu7C/Xq1RMAARAMDQ2FwYMHC5s3bxaePXum0ZzfkpKSIlSoUEGwtbVV7Xv79q1gYGAg9O/fP83Y58+fCyNGjBAkEolgZmYmKBQKtddo2LChULt2beHr169qnbN48WIhf/78wsePH9W/GDXscHBwEABh2bJlaY59/2wJgiB8+fJF6NGjh6CrqyscPnw4z+wQBEE4efKkAAihoaFqjf/zzz+FfPnyCXPmzFFrfFJSkrB8+XJBX19fKFq0qODp6SkkJiaqjr9//16oUKGC0L179zTn1ahRQxg5cqTa1/E9KSkpwu3bt4UlS5YIHTp0EAoXLiwAQvHixQVAmDlzpnDv3j2N501ISBCaNm0qFC1aVLh8+bIgCIIQGBgoAML58+ezPf/ixYuClZWVAAj9+vUTHj58mO057969EywtLQVAGDFiRLrjp0+fFgBh27ZtafY3bdpU6NGjR5p93z9fa9euFbS1tYU3b95ka4eIiCAIqr/94iZu4iZu4iZuP8um9v9hP/D/x/8J4uLiBC0tLWHdunWqfd+/HF6+fFkAhCtXrqjGBAQECICwZs2adHMuXbpU9YNYvXp1lus/fPhQ6Nu3rwAI9erVU71Mq8PZs2fT2CkImonbu3fvCmvWrBF69eol6OvrC4BQuHBhoWnTpgIg7N69W2OBnBl37twRAOHYsWNp9m/YsEEAhAsXLqQ7JzAwUGjcuLEACN27dxfu3r2b5Rpbt24VAMHf319tu27duiUAglwuV/ucrMhK1ApCxsJWEH6cuHV0dBQMDQ01+jlOmzZNKFCgQLaiTC6XC7Vq1RIkEokwcuRI4cWLF+nGODs7C/ny5Uv3s5s8ebJQqVKlPHu+Pn/+LJw7d04YOXKkAAhaWloCIBgZGQljx44V9u7dK8TFxWU5R0aiVhAEwc3NTShSpIjw5csXtWxJTk4WNmzYIBgYGAgFCxYU5s6dK3z48CHLczp37izky5dPKFasmHD16tV0x3v06CGUL19eeP/+vWrfvHnzhBIlSqT5iPP989W7d2+hUaNGatktIiIIorAVN3ETN3ETt59vUxfJ//9H9p+mQYMGVKlSRZVbGBwcjJWVFUFBQVhaWjJ//ny8vb15/fo1Ojo6pKSk0LhxYxITEwkKCkrTqubbnNpXr15x4sQJoqKiKFGiRJo1P3z4gIeHBx4eHpQoUYKFCxcyePBgjfpMfv78GX19fZydnZk6dapq/5IlS7C3t2fq1Km4u7urwpjj4uLw9/dHoVAgl8u5d+8e2tra1K9fH6lUikwmo0GDBoSGhqa5/rxg+fLl2NvbExcXlyacOyUlhfr16wNw7dq1dNcvCAI7d+5kypQpvHr1Cnt7e2bMmEHRokXTjPvw4QOmpqY0bNiQvXv3qm2XIAgYGhoybNgwFi5cmIsrRK3w4++frW9JSkqiX79+HDlyhH379tG5c+dc2QNgYWGBubk5mzdvVvuchIQETExMaNmyJTt27Eh3/O7duzg4OHDo0CGaNm2Kr69vhs/Jw4cPqV69OnZ2dri5uaU5duTIEbp06UJUVBTGxsaaX1gmKO/v2bNniY+PRy6Xo1AoiIqKQktLCysrK2QyGVKplMaNG5M/f34gffhxo0aNVHO2adOGggULcvToUY1seffuHW5ubixZsgQDAwM8PDzo27dvurSCM2fO0Lp1a37//Xc2bNhAaGioqu+wknv37qmKVM2fPx+Ay5cv06RJEwICAlSFwb59vurUqUOZMmWYMGGC6hwRkeyQSCR8SvrnXwsK6qb+nvwMtsDPZY9oS8b8TLbAz2XPz2hLgboT/mFLIDFkBfBz3Bf4OX9OP4st6srV/3yOLWTf9kWhUNCqVStVDun27du5evUqvr6+mYpaDw8P3N3d+fjxIy4uLqoxgiCwY8cOqlevzsKFC7G1tSUqKoqhQ4dqJGohNUe0RYsW6YpffZtzO2DAAKZPn069evUoVaoUvXv35syZM/z6668cOHBAVYl2/vz5NGvWLMsCQ7lBoVCky1GG1H7Cvr6+BAUF4efnl+48iURC//79uXPnDtOnT8fHxwcTExP8/PzS/LwWLVrE69ev8fT01MguiUSidp51VqgjarMjr3NuX716RUhIiMaFg4oWLYq7uzs7d+7kwoULqv0JCQlMmzaNmjVrEhwczM6dOzl//nymHz+mTp1KiRIlmD59erpjLVu2REdH54f1ES5atCjdunVjxYoVREZG8uDBA9auXYuRkRFr166ldevW6Onp0b59e9zc3GjevDkhISHpRK0yRzknxZeKFSvGwoULCQsLw9LSkv79+9OsWbM0LZW+fv2Kra0tjRo1YsSIEZlWS65WrRr29vZ4enry8OFDAOrXr0/RokUzvYchISFZtnkSEREREREREfk3IQpbUgtIxcbGEhISku5YQkICV65cURVfUVYu7dWrV5oKyRlVPy5XrhwzZsxg6dKlREZGEhQURLNmzRgwYAD16tUjPDwcd3f3dN5HTZDJZFy4cIFPnz6RkpLCzZs38fLy4uTJkyqh5Ovri5GREb///jsPHz4kMjKS5cuX061bN1WV1x/J169fOXPmTKYv2E2aNKF///5Mnz4905YphQsXZu7cudy5c4cWLVowbNgwGjZsyJUrV3jw4AGenp44ODhQtWpVje3LrEqvuuSFqFWSl+JWWZypTZs2Gp87ZMgQrK2tsbGxISkpiU2bNmFiYsLSpUuZMWMGd+7cydD7qOTChQvs2rWLhQsXZvh8Fy1alIYNG/6witTfU7lyZUaOHKnqqRwcHMy8efNISkpi9uzZ3LhxA11dXZYvX87GjRt58uSJ6jq+fPmSK3H4yy+/cPDgQeRyOW/evKFevXqMGjWKly9f8vvvv3Pr1i18fX2RSCRZtgKaPn16morrOjo6tGrVKtN7KJfLs23zJCIiIiIiIiLyb0EUtvzV9iUjz8f58+f5+vWr6sV24cKFxMbGpvEMZtXSx97eHkNDQ6RSKfXq1ePt27coFAr279+PkZFRrm03MzPj8+fPdOzYEUNDQ+rWrcvs2bMRBAE3NzccHBz49OkTVapUYfjw4f9IL8tr167x7t27LCuzLlq0iHfv3rFgwYIs56pcubLKU/j161caN25MixYtKFasWIaeQXWQyWQIgqBqR6QJeSlqleSVuFUoFNSqVYty5cppfK6WlhZLly7lxo0bGBsbM3z4cFq2bMmdO3eYM2cOhQoVyvTc5ORkbGxsqFevHoMHD850nFQqxd/fX+PK17lFS0sLCwsLxo8fz5cvXyhUqBBLly5l7NixREZGMnLkSCpWrEj16tWZPn06+vr6lC9fPtfrSqVSQkJCWLZsGfv37+eXX37BwcGBwYMHU69ePdW4zMRt0aJFWbhwIbt37+b8+fNA6rN7+fJlPnz4kG49hUKRbZsnEREREREREZF/C6Kw5a+Q3ow8H3K5nEqVKmFsbMz9+/fx8vLCycmJKlWqAFmL2s+fP7N06VJiYmJ48uQJ48eP58aNGznyoCl5+/Ythw4dYtKkSVSvXp22bdsCEBERwYgRIzh9+jTx8fGcPHkSR0dHvLy8/pY+t1mhUCgoXrw41tbWmY6pWLEi06ZNY8mSJURHR2c7Z7NmzQgMDMTJyYlHjx7x5s0bfHx8ctTXtHz58tSoUUNj7+GPELVKcituBUFALpfn2NP45MkTli9fDsDTp0/5448/2LFjh1ofRjZu3MiNGzfw9fXNMrxeJpPx9u3bNKG5fxff5tSeOnWKSZMm4e7uzvXr13n16hW7d++mefPmhIWFERcXR8mSJWnSpAlz587l4sWLJCUl5WhdHR0dJkyYQHR0NEZGRqpQ5yNHjqT53cxM3A4aNIj69etjY2NDcnIyMpmMpKQkldBVkpiYmOMQahERERERERGR/0VEYfv/SKVSVUjvtygUCqRSKRKJBCcnJ0qVKsW0adOAzEWtIAgcOnSIWrVqMWPGDEaPHk3Tpk05ffq0xsIyKSmJixcvMmfOHBo3bkzJkiXp1q0bx44do0WLFuzevZtevXphaGiIu7s7rVu3pkCBAmnm+FF9btVFLpenyVHODEdHRwwNDXF0dNRobisrKyZNmsT8+fOpUaMGe/fu1fgalXm26p73I0WtktyI2+joaB4/fqxx/9JPnz7h4uKCqakpCoUCT09P8uXLl23PWSVv375lxowZDBo0KE2uakbUq1ePokWL/m3hyEqyKhQFqHLRXV1d+fLlC56enixfvhxDQ0N8fX1p1qwZ+vr6dO7cmaVLlxIREaHx8/bq1SvCwsKws7PDyMiILl260L59e8LDw1VjMhK3ypz0kJAQNmzYgImJCRUqVEgXbRISEsLnz5/F/rUiIiIiIiIi/xlEYfv/yGQyPn/+zKVLl1T7YmJiCAsLQyaTcfbsWfbt28fChQspXLhwpqI2LCyMtm3b0q1bN4yMjLh16xZLly5lxYoVREdHs2LFiiztEASB8PBwfH196dy5M/r6+jRr1oxly5ZRrlw5VqxYwd27d7l37x5r1qyhd+/edOrUKdsc0X9K3CYkJBAQEKCW56hQoUJ4eHhw+PBhtcTOhg0bCAkJYcWKFXh5eREaGoq5uTm9e/emZcuWGeZMZ4ZMJuPhw4fcvXs327F/h6hVklNxK5fL0dHRSZMHnhWCILB7926qV6+Oi4uLyqvo6OjItGnT8PHxUcuT7urqyocPH9SqMK2rq0urVq1+WAGpjMhO1H6LUswPHDiQcePGsXfvXl6/fs21a9eYPn0679+/x9HRkZo1a1KxYkWGDRvG1q1befHiRZY2CIKAnZ0dlSpVwt3dnVOnTnHo0CHu3r1L7dq1mTx5MnFxcUDG4rZhw4YMGjSImTNn8u7dO2QyWbrfl6tXr2JoaEjNmjVzecdERERERERERP43EIXt/2NmZoaBgUGaF8SrV68C0KJFC2xsbGjYsCEDBgzIUNTGxcUxadIk6tSpw4MHDzhy5Ah//PGH6sWydu3ajBkzhrlz5xITE5Nm7efPn7N161aGDh1KhQoVqFWrFlOmTOHDhw/MmDGDa9euERMTw969exk7dizVqlVLc77SK5OdV+2fELfnzp1Lk6OcHX369KFp06bY2tpmmXv55s0bZs6cyeDBg1XFcUxMTFT3PSYmBktLS8aOHZvufmdEixYt0NbWzlZQ/52iVklOxK1cLs+wCnVG3LhxgxYtWtC3b1/q1q1LWFgYHh4eFCtWDPjLk+7g4JDlPFFRUfj6+jJ9+nS1c1KVOaLv379Xa3xu0ETUQuo9NDMzw9DQULVPW1ubevXqMWPGDM6cOUN8fDwnTpygX79+3Lhxg8GDB2NoaEjt2rWxt7fnxIkT6fJfjx8/zsmTJ1m8eDH58+dHIpHQpUsXwsLCcHd3Z9OmTRgbG7Ny5Uq+fv2aobhduHAhHz58wMXFBalUyu3bt9MI6oCAAFWkiYiIiIiIiIjIfwFR2P4/yrYv33qPrl69St26dTl8+LCqcumKFSvSiNrk5GRWrFiBsbExfn5+LFy4kNDQUDp16pTupXL+/PlIJBKmTZvG8ePHsbOzw9zcnHLlyjF48GBu3rxJ//79+eOPP4iPj8ff31/VqufbtkLfo8wRVcfz9XeLW4VCQaVKlfjll1/UGi+RSPD19SUiIoLVq1dnOs7FxYWPHz/i7u6e7li7du24efMmPj4+7N69G2NjY7y9vfny5Uum8xUrVoyGDRtmeQ//CVGrRBNxm10VaiWvXr1i9OjRWFlZERsby8mTJzl06FC6vrIFCxbEy8uLI0eOcPLkyUznc3BwoFy5ctkK4G+RSqUkJSWlaSv0I9BU1AqCoEpDyIrChQvTvn17vLy8uHnzJi9evGDbtm1YWVmxe/duOnTogJ6eHi1btsTV1ZWLFy9ia2tLmzZt6Nq1a5q58ufPj5OTE1FRUXTr1o2JEydiYWHB6dOn04nbp0+fMmPGDHx9fVX5/t9+2IqKihLza0VERERERET+U4jC9htkMhk3btwgPj4eSK3m26xZM2bOnMnQoUO5evVqGlF7+vRp6taty6RJk+jevbsqdDN//vxp5v369StXr15lzZo1lCxZkg0bNtCxY0f27t1LvXr12L59Oy9evCAkJAQvLy/atWuXZdXZzGxXN0f07xS3ygJGmniOLC0tGTlyJM7OzsTGxqY7HhkZqWo7k5lnUFdXl8mTJxMdHc2AAQNwcnLC3Nyc48ePZ7quTCbD39+f5OTkdMf+SVGrRF1xGxgYqApRzYgvX76wePFijI2N2bdvnypnU1mILCN69epF8+bNsbOzy7Bw0h9//MHRo0fx8vKiYMGCal+TqakpFSpU+KF5tpqKWkgVho8fP9ZYHBoYGDBgwAA2btzI48ePiYiIwNvbm+LFi+Ph4UGzZs34888/AVi9ejV//vlnut+/smXLsn79eq5du0axYsWQSqX06NGDmJiYNOK2WbNmVKhQATc3N+rUqZPuHor5tSIiIiIiIiL/JURh+w1SqRRBEAgMDATg9evXPHnyhM+fP/PLL7+oRO2YMWPo3r07MpkMPT09rl+/zu+//46BgQGQKoKio6NZuXIlPXr0oFSpUjRs2BBPT09q1qyJgYEB9evX5+HDh2zYsIH+/furzs2N7Q8fPlS9NGfH3yFunz59Snh4eI5esF1dXUlOTmbOnDnpjjk4OFChQgXs7e2znadUqVKsXLmSkJAQypcvT8eOHenQoQN37txJN1YqlfLmzZt0VXp/BlGrRB1xm1kVakEQOHbsGGZmZkyZMoXBgwcTHR3NpEmT0NXVzXJdpSf9zp076TzpSUlJ2NnZ0aJFC3r27KnR9SgjJX6UsM2JqIXUe6irq0vz5s1zvLZEIqF69epMnDiRQ4cOERERQaFChahXrx6fP39m8uTJGBsbU7VqVUaPHs2uXbvS5MlbW1tz8eJFtm/fTmBgIDVq1MDNzY09e/ZgZmZG586dGTt2LMeOHcPIyAiFQqH6Pa5WrVqaEGoRERERERERkX87orD9BmVIrzK3VkdHh8OHD9OyZUtmz57N5MmT0dLSwszMjODgYFU/VUtLS2JiYti1axejRo2iSpUqmJiYYGNjQ0xMDPb29ly6dInY2FgOHz7Mpk2buHbtGgcOHMgz21u2bImOjo5GhXh+tLhVhkbmpL2RgYEBs2fPZvXq1YSGhqr2nzhxgmPHjuHl5ZWu+nNWmJubc/r0afbv38+dO3cwNzfHzs6ON2/eqMbUr18/XZXen0nUKslO3GZUhToiIoIOHTrQqVMnKlasSEhICMuXL6dkyZJqr1u3bl1GjRqFs7NzGgG2atUqIiMj8fHxyVFOp0wmIzQ0NNuiS5qSU1ELmuUoq8u8efPInz8/J06c4MKFC6q/B127duXSpUv069eP0qVLY2lpydSpU1EoFCQmJtK/f3/u3LnD9OnT8fHxwcrKisGDB1OrVi3c3d2xsLAgMDCQp0+fcv/+fQAaNmyYZ3aLiIiIiIiIiPwvIArbb0hJEajebhBBJZpRfvwGyvR3o5RVe44ePUb79u3ZtWsXy5YtY8aMGdy4cQN9fX2mTp2KpaUlZcqUoV+/fly5coVu3bpx5MgR4uLiuHDhAs7OzjRu3FglNNq3b0/Hjh1xdHTMUd/VjChatCgNGzbU2PP1I8WtXC7HwsKC0qVL5+j8yZMnU61aNWxtbREEQeUZbNmyJT169NB4PolEQvfu3QkPD2f+/PmsW7cOY2Nj1qxZQ3JyMrq6urRs2VJ1D39GUaskM3GbkJDAlStXVF7y+Ph4bG1tMTc3JyoqigMHDqBQKDA3N8/Ruq6urqSkpKg86a9fv2bOnDmMHj2aunXr5mhO5YePvKyO/PHjxxyLWnVzlDXhxo0b/P7778ybN0/1MaFYsWJ07twZX19fwsPDefz4MZs2baJmzZr4+fkhk8nQ19dHJpOxfPlyunTpQkREBC1atGD8+PF8/vyZypUrEx0dzZMnTylSqyWuV95TfvwGHhh141DIU1JS/v6+1SIiIiIiIiIi/wQS4e9uavqTkpIiYLvrBodvPUdISUaipa36N/luAE/2LKBtWxmWlpYEBgZy8eJFPn/+TNmyZZFKpchkMtq0aaN2NdioqChq1arF3LlzmTlzZp5cw7x581iyZAmxsbFZFpvKiCVLlmBvb8/UqVPp3bs31tbWBAUFYWlpmSNbBEFQFcXy8PDI0RwAR48epXPnzhw8eJD79+/j4OBAcHAwderUyfGcSp49e8aMGTPw8/OjTp06+Pj4cPv2bRwcHIiLi2Pu3Ll5LmqDg4OxsrLK1b39lqSkJPr168eRI0fYt28fWlpadOrUibCwMM6fP8+sWbP4/Pkzs2bNwtbWNl3+d07w9vbGycmJkJAQVq1axfbt24mOjs7xBwyAOnXqYGFhwaZNm3Jlm/L+1q1bl7t372osagGuXLlC48aNuXLlSp54PgVBoEWLFsTGxhISEpJt2LfynNDQUBQKBXK5nHPnzvHx40dKlixJmzZtqFKlCkePHiU8PJxSpUojaTKcQjWaQ0oKaGkhAQSgS51y+PSpi5aWWB1ZRD0kEgmfkv7514KCuqnP7M9gC/xc9oi2ZMzPZAv8XPb8jLYUqDvhH7YEEkNSW3D+DPcFfs6f089ii7pyVSf7If8Njtx6xuFbzwGQaGmn+VfbqCElLdty6tRJLl26RIsWLXB3d0cmk1GrVq0chV8qQ5Xd3NwYNmyY2oI4K2QyGXPnzuX69euqFjjqYmdnB4C9vX2ehISGhYXx4sWLXHu9OnbsSLt27bCxsSE+Pp4xY8bkiagFKFeuHJs2beK3337DxsaGVq1a0bZtW5KSkhg6dCj79+//6Ty136P03Pbr14+ePXvSvn17ypQpQ9++fQkNDWXYsGG4ubnlab7lxIkTWbNmDaNGjSIwMJDFixfnStRC6rO7Y8cOBEHIVYuajx8/AqkfjhQKhcaiFlIjDTLKUc4pe/bs4cKFC5w6dUotUQup4sLc3FwVMv/582cCAgKQy+UoFAr27t1LSkoKZcqU4YuhOcVr/H8usFZqEI7yz//hm89oU70MXevm/u+LiIiIiIiIiMjPjChs/5/t1x6hJYEMI/dSUqjQsh/u43pSu3Zt1cvply9fuHHjRo7X7Ny5M+vXr2fMmDG4uLjkeB4lOjo6FCpUCD8/P7VfoL+lRYsW2Nvb4+3tDaTmZeaUbdu2oaurS+HChQkODs7xPACjR4+mV69e5MuXj169euV6vu/R0dFh2bJl/PHHH/j6+gKwf/9+bG1tady4cZ6up7ynubm3GTF16lSeP3+uCkk2MDBg8+bN1KpVi+fPn/P8+fM8Xe+3337D1taWUqVK5ck9qlKlCs+ePWPfvn3p+jSry8ePHxk5ciQATk5O5M+fP0d2HTx4EAsLC27dupUjO74lMTERGxsbmjdvTsmSJXN1n4oWLUqPHj3o0aMH79694/r161y9epWrRRqpoku+R0uS+rdNFLYiIiIiIiIi/3bEUOT/p8mi0zx9k5jp8a9vX/F01Yi/0SIRERGR7Ck/fgM6xctkfrxEQS5Nbf03WiTyv4wYipwxP5M9oi0Z8zPZAj+XPT+jLWIocnp+xp/Tz2KLGIqsIRX0CvH8bWKGHlshJRk+pPZT1dbWpnbt2tSvX5+GDRtSs2bNNNVnNSU5OZlBgwahq6vLpk2b0NLKXT2vXbt24e3tzZkzZzTuhaskIiKCQYMGATB06FAmTZqkUXhoUlISLVu2ZPTo0QwbNixHNigRBIGxY8fy6tUr3r17R/PmzZk7d26u5sxsHR8fH7Zu3UrHjh05duwYzZo148KFC5ibm+Po6IiZmVmu11He261bt1KjRo1czZWSksLx48dZtmwZ7969o2HDhpw/f56mTZsSEBCAp6dnrtrVZMbnz5/p1asXBgYG3Lp1i/HjxzN8+PBczzt27FgKFiyIj4+PRud9/PiRSZMmERUVhZOTE/Pmzcvx/T1//jx2dnYcOHCASpUqaXz+t7x48YIePXrQt29fbGxscjXXhw8fCAoK4urVq1y7do179+4BULp0aZLfvUK7aMlMPbYV9NTvKywiIiIiIiIi8r+KKGz/nwH1K3H1flyGxyRa2sQHHqFly5Y0b96cW7dusWPHDtasWUOxYsVo1aqVqoCUiYmJxjmC69ato0WLFoSHhzNkyJBcXUehQoXw8PAgISGBpk2b5mouZVhy2bJlcXd3V/u6zp8/T2JiIkOHDs11gaR9+/YRFBTEiRMnuH//Pr/99huzZ8+mXr16uZr3W5TVj7du3cqyZcvo3bs3ZcuWZezYsbi4uGBjY8PQoUMZMmQI7u7ulCtXLtdr1qhRI1f3JiAgABsbG65du0afPn3w8PBg9uzZ1K1bF39/f/r168eUKVPYt28fnTt3zrW93+Lu7s6rV684ffo0a9asYd26dUyfPj3X96V79+64u7tjbm6udii9sqXP3bt3USgU5M+fn3nz5uX4/m7evJlKlSrRtWvXXOX6AgwcOJDixYuzbNkyihUrptG5X79+5dq1a6qc2oCAAL5+/UqlSpWQyWT07t2b/fv38+eff1Im+gKSihl/dEkRUv+2iYiIiIiIiIj82xHb/fw/nWuXo0ud1BdzZQFR5b/vw87SuEJ+7t+/j7u7O0ZGRty7d48rV67g6OhIfHw89vb2VK9encqVKzNixAh27NjBq1ev1Fq7efPm9OnTh2nTppGQkJCr6zA1NaVChQoat/3JiIEDB+aoFZBcLkdfXx8LC4tcrf/p0yccHR3p2LEj7du3Z/To0Zibm2NjY5NnbYkyauljYGCAubk5crmcFi1aEBQUxJo1azh+/DgmJia4u7uTmJh52PqP5OnTpwwZMoRGjRrx5csXzp07x65du6hUqRIKhQKpVJptn9vc8OzZMxYsWMCkSZOoXr06zs7OFCxYkBkzZuR6bplMxvv371V9pLMjN31qM0MulyOTyXItai9dusT27dtxd3dXS9QKgkBkZCTLly+na9eulCxZkiZNmrBkyRJKly6Nr68vUVFRnDx5kufPn7No0SLKlClD9erV+Xr3Ks0rpXplv//b1aVOOTrXzv2HGBERERERERGRnx1R2P4/WloSfPrUxbdvXepV0ad8iYLUq6KPb9+6LOpag9MKBTKZDGdnZ1atWkWNGjUIDQ1lxowZnDt3jri4OI4dO0bPnj25du0aAwYMwMDAgLp16+Lk5MTJkydVFVszwsPDg/j4eNzd3XN1HRKJBKlUmifCFnLW51Yul9OmTZtch1V7e3vz5MkTVTErHR0dfHx8uHLlCjt27MjV3JB1n1qZTIZCoUAQBLS1tRkzZgzR0dGMGTMGZ2dnatasyYEDB/K0729WJCYm4ubmhqmpKX/88Qdr167l+vXrqlDj8PBwnj9/rqpC/aPE7fTp0ylYsCDOzs4A6Onp4erqip+fH9euXcvV3JaWlujp6an17P4IUfvs2TPCw8NVPYBzSkpKCjY2NlhZWWUZiv/q1Su2b9/OiBEjqFy5MtWrV8fe3p43b97g5OREQEAAr1+/Zv/+/QwYMIDVq1djbm5OeHg4fn5+fPr06f895wo2jW2V4d8usdWPiIiIiIiIyH8FUdh+g5aWhK51y7NrTCMuTW3NrjGN6Fq3PCNHjuD3339n/fr1PH36lDt37tCuXTtGjx6NtbU158+fp0iRInTo0IElS5YQGhrKs2fP2Lx5M3Xq1GHbtm20b98ePT09Wrdujbu7O9evXyc5OVm1duXKlXFycsLb21uVP5dTZDIZoaGhedK2BzQTt2/evCEwMDDXbX6ePn2Ku7s7kydPxsTERLW/devWdO/enalTp/Lhw4ccz5+VqIXUe6j8WSspUaIE3t7e3L59m+rVq9OjRw/atGmTJ9Vzs7Jz37591KhRgzlz5jB27FiioqIYPXp0ml7Fcrmc/Pnz06xZM9W+vBa3165dY/Pmzbi6ulKiRAnV/lGjRlG7du1ce9K1tbVp3bo1CoUiy3E/QtQCqnXbtGmTq3k2b95MUFAQPj4+aT7ufPz4kZMnT+Lo6EidOnUwMDBg4MCBBAYG0qtXL44dO0ZcXBznzp1j1qxZNGjQAIlEwtq1azE2NmbNmjXMmzePy5cv4+vry8OHDzl9+jR16tTJ9G+XKGpFRERERERE/iuIwlZNRoxIFbdr1qzBzc0NPz8/rly5Qr58+WjRogV9+/bl4cOHqvGGhoYMHjwYPz8/nj59SmhoKB4eHhQqVIgFCxZQr149ypQpQ+/evVmzZg337t1j6tSplCpVCicnp1zZqnwxz04gaIK64vbMmTOkpKTkWthOnz6dQoUKMXv27HTHvLy8ePXqFR4eHjmaOztRC9CsWTPy5cuXofewevXqHD9+nGPHjvHs2TMsLCz47bffeP36dY7syYybN2/SunVrevXqRa1atQgNDWXx4sVpRKUSuVxOkyZNKFgwbaGgvBK3KSkpTJ48mdq1azNq1Kg0x7S1tfHx8SEgIIDt27fnaH4lMpmMq1ev8vbt2wyP/yhRC6n30MLCIlc9ed+9e8e0adPo168fjRo1IjAwEDc3N1q3bo2enh7t27dnx44d1K1bly1btvDs2TNu376Nt7c3HTp0oEiRIqq5zp07h5WVFWPHjqVDhw5ERUUxfvx4OnXqlEbUioiIiIiIiIiIiMJWI74VtxMmTKB+/fpcuXIFPz8/zp8/T/Xq1ZkzZ046T6JEIqFWrVrY2Nhw9OhR4uLiOH/+PBMmTODp06dMmDABIyMjateujampKfv37+fgwYM5ttPAwIDatWvnqbAF9cStQqHAyMiIKlWq5HidgIAAtmzZwoIFCzIUcdWqVcPBwQEPD480HxPUQR1RC1C4cGEaN26c5T3s0KEDt27dwsvLi+3bt2NsbIyvry9JSUka2fQ9MTExjBs3DktLS54/f87x48c5evQopqamGY5X5tpm9jEhL8Tt9u3buXr1Kr6+vmk8xUpatWpFz549mTJlCu/fv9d4fiVSqZTk5GTOnTuX7tiPFLWCIKhylHODk5MTcXFxvH37ltKlS1O/fn3c3d0pXLgwHh4ehIWF8eTJE/z8/Bg0aBCGhobp5njw4AF9+vShZcuW5M+fn4CAAPz8/ChYsCBSqVQUtSIiIiIiIiIiGSAKWw35XtwCDBkyhKioKOzs7Fi4cCHVq1dn+/btmXo18+XLR7NmzZg/fz6XL18mNjaWgwcP8uuvv/L06VMgtUKstbU1M2bMwN/fn8+fP2tkp0wmQy6X53kOaHbiVll8J6co8xPr1q3LiBGZ9w2ePn06enp6TJkyRe251RW1SqRSKWfPns1SqObLlw87Ozuio6Pp27cvdnZ21K5dm5MnT6ptl5KkpCR8fHwwNjZm586dLF68mNu3b/Prr79meV5AQAAfPnzIUpTlRty+f/+eqVOn0qtXL1q2bJnpOE9PT2JjY1m0aJHac3+PkZERVatWTecp/5GiFiAsLIwXL15o/OzGxsayZ88exo4dS8WKFVm7di1fv37l7du3TJo0iQsXLhAXF8eRI0ewsbGhZs2amRam+vDhA7Nnz6ZGjRpcvHiRzZs3c+XKFRo0aEB8fLwoakVEREREREREskAUtjnge3GbkpJC0aJFcXNzIyIigvr16zNw4ECaNm3K9evXs52vePHidO3aleXLl3Pnzh2V6JBIJPz++++0adNGFcbo5eXFzZs3SUlJyXJOqVTKs2fPiIiIyJNr/pbMxO3Dhw+Jjo7Olddr69atXLt2LVPPoJKiRYuycOFCdu/ezfnz57OdV1NRC6kfBxISEtQqilS6dGlWr15NcHAwBgYGtG/fns6dOxMVFZXtuQAnTpygdu3aODg40L9/f6Kjo7G1tVWr7Y1CoVCrCnVOxe3ChQuJjY3F09Mzy3FVq1bF0dERT09PHjx4oNbcGfF98bMfLWoBVaug7FpkJSYm4u/vz/Tp06lXrx6lS5emT58+nDt3Dl1dXUqVKsXTp0+5dOkS8+bNo2nTptn+DAVBYNu2bZiamuLp6YmDgwNRUVEMHjwYLS0tUdSKiIiIiIiIiKiBKGxzSEbiFlLDZPft28fp06dJSEigXr16jBgxQqNCTp06dWLYsGHcv3+fiIgIbty4wfz58xEEQdWrtGzZsgwYMIANGzbw+PHjdHM0b96cfPny5Xk4spKMxK1CoUBLS4vWrVvnaM73798zbdo0evfurar2mxWDBg2ifv362NrapinE9T05EbUAVlZWlChRQqMK03Xr1uXMmTPs2bOH27dvY2ZmhqOjY6Y5o5GRkXTs2JEOHTpQtmxZgoODWbVqlUZ5nsoq1Fl9CFCiqbh98OABXl5eODo6qhVePm3aNPT19TXypH+PTCYjMjKSx48f/y2iFlLvYdOmTdPlKKekpBASEoKnpyft2rVDX1+fNm3asH79eoyNjVm/fj2PHj1i+fLl3L9/n2XLlmUYXpwZgYGBNGnShEGDBtGwYUMiIiJwdXVV5dqKolZERERERERERD1EYZsLMhO3kFq9Nzg4mJUrV3L48GGMjY3x8PBQO6TYzc2Nz58/4+LiQt26dXF0dOTkyZPEx8dz+vRpRo0aRXR0NKNGjaJSpUpUr16diRMncujQId6+fUuhQoVo0qRJnrX9yYjvxe2pU6ewtrZGT08vR/O5u7sTHx+vdlEoLS0tfHx8uHHjBhs3bsxwTE5FLfxVpVfTeyiRSOjVqxcRERGq9lDGxsb8/vvvKgGekJCAg4MDZmZmhIeHs3fvXvz9/TUWLm/evOHatWsaeck1EbdOTk6ULFmSadOmqTV3kSJFWLRoEXv27MkwT1YdWrdujUQi4ejRo3+LqP0+R/nRo0ds2LCB/v37U7ZsWSwsLJgzZw4SiQQXFxdCQkJ48eIF27dvZ/jw4RgaGmJra0uTJk3o27evWms+f/6c4cOHU79+fT58+IC/vz979+6latWqqjGiqBURERERERERUR+J8Hc14vwXs2HDBkaNGsXYsWNZsWJFuv6tcXFxzJs3jxUrVlClShUWL15Mly5dMs21U7Jo0SJmzpzJrVu3qFmzZoZjYmNjOXPmDHK5HLlczv3799HW1qZ+/foUKFBA1QuzUKFCal9PcHAwVlZWBAUFYWlpme34JUuWYG9vT8GCBbG1tcXNzU3ttZTcu3ePmjVrMmXKFObPn6/RuYMHD+bkyZNER0dTvHhx1f7ciFolq1evZuLEicTFxVGsWDGNz4fU1kXTpk1j69atmJqaEhkZSYkSJUhKSmLGjBnY29tToECBHM198OBBunfvzr1799KIInVISkqiX79+HDlyhH379tG5c+c0x8+ePUurVq3YsmULgwYNUnvelJQUGjduTGJiIkFBQWp5kr/H0tKSJ0+ekJiYqJGo1fTZBTh+/DgdO3akd+/e3Lx5k6ioKCQSCdbW1kilUmQyGY0aNcr0Z7RixQomTZpEYGAgVlZWWa6VmJiIj48PCxYsIH/+/Li6ujJq1Ch0dHTSjBNFrcg/hUQi4VPSP/9aUFA39f/Hn8EW+LnsEW3JmJ/JFvi57PkZbSlQd8I/bAkkhqwAfo77Aj/nz+lnsUVduSp6bPOArDy3APr6+vj6+nLr1i2MjIzo1q0bbdu2JTQ0NMt5bW1tqVKlCnZ2dpn+QEuWLEmvXr1ULYPu3r3LihUrKF++PEFBQXz69IlSpUrRqVMnfH19CQ8P/yEFpezt7fn06RMPHjzI0fxOTk6UKlWKqVOnanzuwoUL+fDhAy4uLqp9eSFq4a8qvWfPns3R+QDly5dny5YtrFixQpV7WrBgQU6fPs2MGTNyLGohNYS2WrVqGotayNpzm5ycjI2NDQ0bNmTAgAEazaulpYWvry83b95k/fr1Gtv1/v17YmJieP36NSdOnMhzT+2XL1+4cOECzs7ONGrUiE6dOgEQFBREq1at2LNnD69fv+batWu4ubnRqlWrTH9GsbGxzJ49mxEjRmQpagVB4ODBg9SqVYvZs2erIi7GjRsniloRERERERERkTxAFLZ5RHbiFqBmzZr88ccfHDlyhAcPHlC3bl0mTpxIbGxshnPmz5+fxYsXc+rUKY4dO6aWHdWqVWPs2LHs2bOHmJgYihYtSqNGjfj48SNTpkyhVq1aVKhQgaFDh7JlyxaeP3+eq+tWYmBggK6uLjt27Miyz21GnDlzhv379+Ph4UHhwoU1Xrt8+fLMmDEDX19foqKi8kzUAqrWRbnJVVa2b1G2dYJUcdWyZcsM20NpgkKhyFUV6szE7e+//86tW7fw9fVNF4GgDg0aNGDIkCHMnDmTN2/eqH2eMqc2NjYWQRDS9HXNKYIgEBYWho+PD506dUJfX5/mzZuzfPlyKlSoQJUqVfj111+5e/cuq1evplevXujr66s199y5c/n69SsLFizIdMzt27eRSqV0794dY2Njbt26xZIlSzIM2RdFrYiIiIiIiIhIzhCFbR6ijriVSCR06tSJsLAwFi5cyJYtWzA2Nmb58uV8/fo13fguXbrQpk0b7O3t+fLli0b25MuXj7Zt26oqucbHx/PHH38wYMAAbt68yZAhQyhXrhxmZmbY2dlx/PjxHPcgVSgUtGnTJts+t9/z9etXbG1tadSoEf3798/R2gD29vaUL18eBweHPBO1kPrzUrZO0pSM2rf4+fkBcODAAbXbQ2XGo0ePiIqKypWwhfTidseOHcyaNYshQ4ZQv379HM/r7u7Op0+f0njSs+LbQlHHjx+nQIECOf6gEBMTw5YtWxgyZAjly5fHzMyMqVOn8unTJ2bNmkVgYCAxMTGsW7eOhw8f0r17d43XCAsLY9WqVcyePRsDA4N0x2NjY5kwYQJ169blyZMnHD16lBMnTlCjRo0M5xNFrYiIiIiIiIhIzhGFbR6jjriFVNHp6OhIVFQUPXv2ZPLkydStWzedgJJIJPj4+HD37l2WLVumsT1SqZSrV6+qCkq1a9cOT0/PNAVw6tevz969e+nYsSP6+vqMHj0aSPU0ZSS2vycxMZELFy4gk8my7XP7Pd96BrPLOc6KggUL4unpydGjR/NM1CqRSqXcuXOHJ0+eqDX++/Yt9vb2adq3ABQuXFjVHqpevXoatYdSolAokEgktGrVKkfX9S3fittBgwaRkJCAu7t7ruYsV64cM2bMYOnSpURGRmY59vvqxy1btqR58+Zqf1B4//49x44dw8vLC4D27dszZMgQbt++zcCBA9MUXps2bRrW1tZoa2tz5swZUlJSNG5RJQgCdnZ2VK1alcmTJ6c5lpSUxNKlSzE2Nmbr1q14enpy+/ZtOnbsmOkzLopaEREREREREZFcIoj8ENavXy9IJBJh3LhxQnJycrbjg4KChKZNmwqA0KVLFyE6OjrN8QkTJgjFihUTXrx4oZEdf/75pwAIhw4dynJcSkqKcOfOHWHZsmVCixYtBEAAhOLFiwvdunUTVqxYIURGRgopKSnpzlUoFAIg3Lx5U7XP29tbAISpU6dmeI4gCEJcXJxQsmRJYdiwYRpdU2b229vbC4BgYGAgfPnyJddzKomJiREkEomwcePGbMdeu3ZNaNSokQAIPXv2FO7du5fmeFBQkAAIQUFBafafPn1aMDMzEyQSiTB8+HDh+fPn2a7Vr18/oV69ehpdS3bcunVLkEgkgra2tnD48OFcz/fp0yehSpUqQocOHTIdk5CQIDRt2lQoWrSocPnyZdV+Dw8PoWDBgkJiYmK6c5KSkoTLly8L8+fPF5o1aybo6OiofvaAsGDBAuHly5fZ2vfbb78JRkZGGl/XoUOHBCDdPTp58qRQo0YNQSKRCKNHj1bLhri4OMHS0lIoWbKkEBISorEtIiJ5ifJvv7iJm7iJm7iJ28+yqf1/2A/8//E/j6biNiUlRdi5c6dQsWJFQVdXV5gyZYrw9u1bQRAE4fXr14Kenp4watQoje2oWrWqMHHiRLXHK8XXxo0bhXnz5qURDpUqVRJGjhwp7NixQ3j16pUgCIIwdepUoUyZMukEbHbi1sbGRihSpIjw7Nkzja/pW1JSUgQHBwfVWlpaWoKPj0+u5vweS0tLYcCAAZkef/bsmTBs2DABEGrXri34+/tnOC4zYSsIqWJt5cqVQsmSJYUiRYoIixYtylDUCYIgJCcnC6VKlRKmT5+eswvKhF9//VWoUqWK0LVrV0FXVzdPxO2+ffsEQDh27Fi6Y5mJWkEQhBs3bgiA4O/vL6SkpAiRkZHC8uXLhW7dugnFixcXAKFYsWJCt27dhOXLlwuRkZHC9evXM72/GWFsbCyMGzdOo+tJTEwUjIyMhLZt26qe66ioKKFz584CIDRv3lwIDg5Way5R1Ir8bPzTLy/iJm7iJm7iJm7fb+qSthynSJ4yYsQIAEaNGgWQYSugb5FIJPTt25fOnTvj5eXFwoUL8fPzw83NjWHDhjF//nwmT57Mb7/9hoWFhdp2SKXSHOWI1q5dm2HDhuHs7ExCQgLnzp1DoVAgl8tV1W4tLCx4+vQptWrVIjExkYIFC6rOt7OzA1LzXyE151IZihkREcHy5ctZsGABhoaGGtumRMigUNSbN2+YO3cuAwcOpFSpUjme+1tkMhkbN25EEIQ04aTft29ZtWpVhu1b1EFHR4fx48fTt29f5s2bx4wZM1i7dm2G7aFu3brF69evc51f+y3Hjx/nxIkT7N+/n06dOtGvXz969uyZYSsgTejevTutWrXC3t4emUyGrq4ukD78+Pvqx4aGhhQtWhRbW1vevHnDo0eP0NHRoVGjRjg4OCCVSqlXr16aex0cHKy2XQ8fPiQ6OlrjkGtfX18ePHjA4cOHSUhIwNXVFR8fHwwNDdm9eze9evVSK6xeDD8W+Vn5Wdo7wM9hC/xc9oi2ZMzPZAv8XPaItmTMz9R6CH6u9kM/489JHcQc2x+Mujm331KoUCGcnZ2JjIykdevWjBw5kvr162Nubk6NGjWwsbHRqNCQTCYjMjKSx48f5/g6ihYtSqdOnfDx8SEsLIwnT57g5+fHL7/8wqtXrzhz5gx6enpIpVIWLlxIUFAQKSkpGebcCv+fn1i5cmVsbW1zbFNGohbAxcUFQRBwdnbO8dzfI5PJePXqFbdv31atrW77Fk1Rpz2UXC6nYMGCNG7cOFdrKfny5Qv29va0atWKbt26ZdkKSFOUeeLR0dGsWJH6RzsjUfvp0ydOnTqFk5MTFhYWlC1bloSEBKKjo+nevTtHjx4lLi6O8+fPM3v2bBo1apSre63MUW7durXa57x48QJXV1fGjRvHlStXMDY2ZsWKFcyePZs7d+7Qu3dvUdSKiIiIiIiIiPwDiML2byAn4hagYsWKbN++nYsXLwLQsmVLDAwMuHDhAnv27FF7/datWyORSHLVsuZ7ypcvz5AhQ+jVqxeQKrTc3d3Jnz8/rq6uWFtbU6ZMGfr06UORIkWYOXOmStweO3aMkydPsnjxYvLnz5+j9TMTtQClS5dmzpw5rFmzhlu3buXJ9TZp0kRVpTc0NBSZTKZW+5bckFF7qEmTJhEXF4dCoaB58+Y5vn/fs2LFCqKjo/Hx8VEJs7wUt7Vr12bMmDHMnTuX+/fv8+uvvxISEoKPjw/nzp2jTZs26Onp0a5dO7Zt24a5uTl+fn54eXmRmJiIs7MzHTt2pGjRonlyvZD6zFpbW2v0c5s5cyYAFy9eZNSoUaqPRrNnz04TrZAVoqgVEREREREREcl7JIImrj+RXLFhwwZGjRrF2LFjsw1L/p6UlBT8/PyYPn06r1+/pkiRIvz5559qh9paW1tjamrKtm3bsh0bHByMlZUVQUFBWFpaZjl2zJgxXLhwgYiICNW+L1++EBAQgFwuRy6XExgYSEpKCiVLliQ2NpbChQtjaWnJuXPnclQJOStR+60NtWvXply5cpw+fTpXFZeVtGrVinv37vHkyROMjIxYsmQJHTp00GhuTe7tt3z58oWlS5cyf/58dHR0SEhIYMGCBUyZMiUnl5KGV69eYWJiwoABA1i5cmW640lJSfTr148jR47kKiw5JiYGIyMjJBIJHz9+pFChQrx7947ChQvTsuX/tXffYU3d7R/H34C4qIq49wQVFZxIRZykjipqraMu3LMK4sBZBRUUByCuqjjrrKOup9UEcaGiAu6FVuvGKli3Ms7vD3/kkZJAsFaDz/26rly0Oes+h9j6yXc1xsXFBZVKha2trfaZ3rx5kzJlyrB582Y6dOiQ4TUMfb7JyckUKVKEAQMGpLsG7bt27dqlvfc6deoQFBSU6RZzCbXC2JmYmBhV1zNjqAWMqx6pRTdjqgWMqx6pRTfpiqyfsf2eDI2r0mL7Eb1vyy2AqakpvXv35sqVK/Tp04e//vqLihUrsnHjRoN+2SqVCo1Gk6lrZkRRFNRqdZpxntmzZ6dhw4ZMnTqVY8eO8ejRI7Zu3Urnzp2xsLDg+fPnHD58mHr16jFhwgT279/P69evDb6mIevUZs+enYCAAMLCwti2bds/us+EhASCg4OJiIjg5s2b+Pn5ce7cuXSXb/nQUpaHiomJwdHRkcTERJYsWfJBWuEnTZqEiYkJPj4+Orf/k5bbuLg4tmzZwqBBg6hXrx5Pnz7lyZMnlClTBnd3dw4cOEBcXBy7du3Cw8ODqlWrpnqmpUuXxsbG5r3GiKfn9OnTBo9RfvHiBZMnT6Zt27Zky5aNZcuWERERIaFWCCGEEMKISLD9yP5JuAXImzcvS5YsoX///jx9+pQuXbrQsGHDDCfNcXFxSTVG9EO4du0aN27cyHANUEtLS9q3b8/kyZMxMzOjdu3aKIrC06dPWbJkCU2aNMHKyoqWLVsyZ84czpw5ozOsGxpqU7Rs2ZJWrVoxcuRIXr169V73uHfvXmrUqIG7uzstWrQAwMHBgezZs7/X+f6pIkWKYG9vT/78+SlWrBgqlYq2bdty9erV9zrfqVOnWLp0Kd7e3um2/hsabl+/fk1YWBjjx4/HwcGBggUL8u233xIaGsqrV6/ImTMnpUqVomTJknh7e9OwYcMMn+X7Tn6WHo1GQ+7cudNMWPUuRVHYsGEDlStXxtfXl+TkZLZu3Urfvn0z1dsCJNQKIYQQQvzbJNh+Av803ALMnj2bQoUK0aRJE+Li4qhTpw79+/cnNjZW5/7vjhH9UDQaDWZmZjRu3Nig/SdOnIiZmRl79uxh7ty5XLp0iT59+hAZGcmUKVNISkpi4sSJ2NvbU7RoUbp168bKlSu5fft2pkNtirlz53L79m0CAgIydW8xMTG4urrSvHlzChYsSGRkJJs3b6ZgwYIfPGRlllqtpmXLlhw8eJANGzYQHR2Nra0tXl5ePHnyxODzKIqCh4cHlStXZvDgwRnuryvcJicnc/r0aebMmUOLFi3Inz8/TZs2ZenSpVSoUIFly5Zx4cIFihYtyrNnz9i3bx9LlizhwIEDbN261aA6VSoVv//+O7///rvB95YRtVqd7hjlyMhInJ2d+e6776hRowYFCxakXbt279UNW0KtEEIIIcS/T4LtJ/IhWm59fX0JCwtj4cKFzJs3jy1btmBtbc3s2bN58+ZNqv1z5syJs7PzBw1larWaevXqkTdv3gz3jY6OZtmyZXh7e1OgQAHtbMn+/v5s2rSJUaNGsXfvXuLj49FoNPTu3ZvLly/Tp08fSpUqRcGCBZkzZw4DBgygZ8+eBtdYqVIlhg0bxvTp07l7926G+z958oQxY8ZQtWpVTp8+zaZNm9i/fz81a9bE1NSUZs2afdAvBzLr0aNHREVF4eLiol0e6tKlS0ycOJHg4GBsbGxYsWKFQZ+nLVu2cODAAQICArRL8GTE3Nyc2bNnU716ddq2bYuVlRU1atRg4sSJKIqCt7c30dHRxMbGsn79ejp16sSAAQNSzX7cokULvv76a0aNGsXLly8zvGbjxo0xNTX9YM/91atXHDp0SGdPg/v379O3b1/q1q3L48ePUavV1KpVi7i4OGbPnp3pa0moFUIIIYT4OCTYfkL/NNz26tWL2rVrM3LkSIYMGUJMTAxubm6MHTuWatWqsWvXrlRdelUqFQcPHjR4PGt6kpKS2Ldvn0FjFBVFwd3dnSpVqjBo0CDt+7qWAsqZMyfNmjVjxowZnDx5ktjYWFq3bk1cXBxWVlYsWbIEKysrnJycmDJlCocPHyYhISHd6//www/kypWLcePGpXs/ISEhWFtbM3/+fL3Lt6hUKk6ePEl8fLwBT+nD27dvH4qipAplf18eqk+fPjg4OBAeHq73PC9fvmTUqFG0bt2a5s2bp3vNJ0+esH37doYNG0blypUpX7480dHR5MuXj6dPnzJ16lTi4+PZs2cPo0ePpkaNGpiamqa7Tm1KS/rcuXMzvGdLS0scHBw+WLANDw/n1atXqT67r1+/ZtasWdjY2PDLL78wf/58Tp06hY2NDTNnzsTT05MKFSpk6joSaoUQQgghPh4Jtp/YP51QKigoiMjISFatWkWBAgUIDg7m1KlTlC5dmjZt2tCyZUvtjMUqlYqXL19y5MiRf1x3ZGQkjx8/NijY/vzzzxw6dIjAwMA0LYO6wm0KRVGYOXMmu3btIjg4mIcPH3L16lXmz59PsWLFCAoKwtnZmQIFCuDq6sq8efO4ePFimvG5lpaWTJ8+ndWrVxMREZGmvsOHD+Pg4EC/fv1wcXFJd/kWFxcXkpOT2bdvn6GP6oNSq9VUqlSJUqVKpdmWsjzUoUOHAGjQoAFdu3bVuX7xnDlzuHv3LnPmzEmzLSEhgcOHDzN58mScnJywsrKiXbt27N69m0aNGrFp0yb+/PNPHjx4QLt27fDx8UnTEyC9UAtgY2ODu7s7vr6+3LlzJ8P7VqlUhIaGkpSUlOG+GVGr1RQuXJjq1aujKAo7d+6kWrVqjBs3jl69ehETE8OQIUPIli0bY8aMwdLSkvHjx2fqGhJqhRBCCCE+Lgm2RuCfhFsnJye+++47xo0bpx1fWa1aNdRqNb/88gsxMTFUr14dd3d3SpUqRaFChT5Iy5dGoyFPnjw4ODiku9/Lly8ZPXo0rq6uekOwrnCra0ytiYkJFSpUYNCgQWzevJmHDx8SERHB2LFjefr0KaNGjcLW1pZSpUrRq1cv1q5dy/379wHo27cv9vb2uLu7a5/vzZs3+e6773B2dsbU1JTw8HDWrl2rMzSmKFOmDNbW1p+sO7JGo8nwy4QGDRpw/Phxli9fzr59+6hUqRI+Pj68ePECgDt37uDn54e7uzs2NjYoisKFCxeYN28ebdq0wcrKCmdnZ4KDgylWrBgLFizg6tWr/P777/z444907NiRAgUK6J1QKqNQm2LSpElYWFgwduzYDO/bxcWFuLg4Tp06lbkHpoNGo8HFxYULFy7QvHlzXF1dKVeuHKdPn2bevHlYWVkBcOjQITZu3MiMGTMytX6uhFohhBBCiI8v26cuQLzVp08fAPr16weQqXVuZ86cSaVKlfD19WXGjBnA27UI27ZtS4sWLQgKCmLq1KmsXbuWsmXLsnfvXoPX7tRHrVbTuHHjDMdmzp49m3v37mUYBEeMGAGAp6cniqKQmJjI3Llz050oyszMDAcHBxwcHBg/fjzPnz/n0KFDqNVqNBoNq1atAqB69eq4uLjQtWtXvLy8WLFiBbdu3cLf3598+fKxYsUKevbsafDzVqlU7Nmzx6B9P6Rr165x/fp1g1rJU5aH6tChA9OnT2fatGksW7aMWbNmsXPnTnLlyoW1tTVubm5oNBru3r1L9uzZcXJyYty4cahUKmrVqoWZmVm610kJt126dKFDhw789NNPBAcHZxhqAfLly8f06dMZMGAAQ4cOxdHRUe++jo6OWFhYoFarqV27dob3r8+jR4+IjIwkf/782NvbU65cObZv306bNm1SdTlPSkrC3d2dunXr0qNHD4PPL6FWCCGEEOLTMFEMXfFWfBTLly+nX79+DBw4MFPh1tvbG19fX86fP0/FihXTbL9//z7jx49nxYoVAGzbto127drpPFdUVBS1a9cmMjKSWrVqpdn+/Plz8ufPz+zZsxk+fLjemm7dukWlSpX4/vvv8ff3N+g+5s6dy8iRIwGYN28ew4YNM+g4Xe7fv09oaCgajQa1Ws2dO3cwMXm7yLOpqSndu3cnKCgIS0vLTJ1327ZtfPPNN/z++++UK1cuU8dm9GzTk9Ki/+jRI/Lly5epY8+cOcPAgQM5duxYqvft7OxQqVS4uLjg7OyMhYVFps6bIiEhgW+//ZadO3eSM2dOQkND0w21KZKSkqhTpw7Zs2fn6NGj6X7ev/76a169ekVoaKjefdJ7vomJiQwcOJDly5fzxRdf8MMPPzB8+HCdMyOHhITQr18/jhw5YtB9gIRa8XkwMTHhZcKn/2tBLvO3XzQZQy1gXPVILboZUy1gXPVILbql1JKzxtBPXMlbr04tAIzr2RhLLYbGVemKbGTet1vy6NGjKVKkCKNGjdK5vWjRoixfvlzbXbR9+/bacJZZhw4dIiEhIcOWw7Fjx5InTx4mTpxo0HkVRUk1c/GdO3cM/iDrkrJk0IoVK/jll1+oWbOm9nxmZmasXr2acuXK0aFDBxYtWsTVq1cNul6TJk0+6Cy9hkqZhdqQUJuYmEhERATTpk2jcePG1KlTh2PHjpEtWzZtK2zXrl3Zu3cvs2fPpkWLFu8dauHt5EsPHz7EzMyMhIQEHj58aNBxZmZmBAUFcfz4cX766ad091WpVBw+fFjbpTozQkNDqVGjBsuXLydfvnzExMQwevRonaH2r7/+Yvz48XTr1k1CrRBCCCFEFiHB1gi9T7jNnTs3s2bNYvv27eku6dO6dWusra1p1qwZJ06coEqVKowfP56nT58aXJ9araZEiRJUrlxZ7z7h4eGsW7cOPz8/g5YD+vuYWn0TSmVWyvItDg4OvHnzBrVazcSJEzExMWHTpk14eHgQGxvLsGHDsLa2ply5cvTv359NmzbpDWeWlpbUrVv3o65nmzILta4lauDt84uJiWHRokV88803FCxYEEdHR21367lz5+Lr60tiYiJqtZrg4GB+/fVXbGxsdC4PlRkpY2rPnj3Lvn37cHV1TTXmNiMNGzakU6dO2rHS+qhUKt68ecPhw4cNru3atWu0b98eFxcXLC0tKVasGD179qRo0aJ6j5k2bRrPnj3TduvPiIRaIYQQQohPT4KtkXqfcNupUycaNGjAiBEjSExM1LufSqXixo0bXLp0ibFjxxIQEEClSpVYtWqVQddJmXzn3TGJ70pOTsbd3Z3atWvTq1evDM+na6Ko9GZLNoS+5VtcXFwYO3YshQoVYuPGjUyePJnDhw8TFxfHjh07cHV1JTw8nM6dO1O4cGFq166Nl5cXGo2GV69eac+fMktvZpdoel9RUVHEx8enaiV/+PAhGzdupF+/fpQrVw4bGxuGDx/On3/+yYgRIwgPDycuLo7t27fj5ubGvHnz6Ny5M02aNOH7778nJiaGnj176l0eyhB/nyjK2dlZ54RSGfH39yc+Ph4/Pz+9+9ja2lKsWDGDWsqfP3/O2LFjsbW15eTJk6xfv56VK1dy7949vV8OAMTExBAUFMS4ceMoWbJkhteRUCuEEEIIYRwk2BqxzIZbExMTgoKCuHDhAj/++KPe/VQqFdeuXePBgwd4e3tz6dIlnJ2d6dWrF46Ojpw9e1bvsbGxsZw5cybdbsirV68mMjKSwMDADMcI6wq1Kd4n3Ga0fAuAhYUFM2bMYMuWLezfvx+AvHnz0qZNG+bNm8eFCxe4desWy5cvp0qVKqxatQqVSkX+/PlRqVT4+/tTpkwZ4uLiiI6OzrCmD0GtVmNhYcHTp0/x8vKiVq1aFCpUiC5dunDkyBHatm3Lzp07iYuL49ChQ0yePJn69etr79nPz4/Hjx+nGuuc0fJQGdE3+7G+2ZLTU6ZMGUaPHs3cuXP1do83MTHBxcUl3ZbylD8j7du3Z968eYwbN47Lly/TpUsXNBoNZmZmNG7cWO/xI0eOpHjx4tpx3umRUCuEEEIIYTxk8qgsILMTSvXr14+tW7cSExNDgQIF0mx//PgxBQoUYNGiRQwYMED7/qFDh3B3d9eGtV9//ZUWLVqkOnbt2rV0796de/fu6ezO+eTJE2xsbGjSpAnr169Pt870Qu27AgIC8PT0xMvLCz8/P70txRcuXGDEiBHs3bsXlUpFQEAAVatW1blvcnIyTk5OvHjxgqioqHRn/1UUhXPnzmlnWz5w4IB2nKednR3Dhg1DpVJRpkyZdO8XMjd5VHJyMqdOnUKtVjNz5kz++usvkpOTKVq0KC4uLtpXiRIl0j3P77//TpUqVRg7dize3t5673HHjh14enryxx9/8P333zN58mTy58+vc39DlvRJSEigS5cu7Ny5ky1bttCmTZt063z+/DmVKlWiXr16bNmyRec+q1evxs3NjdjYWAoXLpxq25EjR+jfv792GZ8lS5ZQunRp7fYOHTpw//59wsPDdZ57z549tGjRgk2bNtGxY8d0a5VQKz5XMnmUbsZUj9SimzHVAsZVj9Sim0wepZ+x/Z5k8qjPSGZbbqdPn05iYiJTpkzRud3S0hIHB4c0XTqdnZ05ceKEdrKn9u3bM23aNF6+fKndR6PRUL16db1jFH19fXny5AkzZ85Mt0ZDQy1k3HIbFxfH8OHDsbOz49q1a2zfvp09e/boDbXwdjmcoKAgzpw5w7Jly9Kt1cTEhOrVq+Pp6cl//vMf4uLiCAsLo0KFCty4cYOBAwdStmxZrK2tGTJkCNu2bePx48fpnlOfGzdusHTp0lRdoX18fHj8+DGurq6cOXOGu3fvsmbNGtzc3DIMtQCjRo2icOHCjBkzJt17bNu2LRcuXGD69OmEhIRgbW3NokWL0nRrN3Sd2sy23FpYWODv78/WrVvZt2+fzn1SuhG/u/327dt069YNJycn7Z8NX1/fVKE2ZYyyvp4GCQkJjBgxgoYNG/Ltt9+mW6eEWiGEEEII4yPBNovITLgtUqQIP/zwA4sWLeLcuXM690kZI5qUlJTqfTMzM9q3bw9Ax44d8fHxoUqVKmzevJnk5GTUarXecHD16lUCAgLw8vJKFSr+LjOhNoWucJuYmMjChQuxtrZm5cqV+Pn5cf78eVxdXfW26r7LwcEBNzc3JkyYQHx8fIb7p8iRIweNGzdm6NChvH79mlu3brFlyxZtN9lvvvmGAgUK4OjoyMSJEzlw4IDeyZni4+PZunUrgwcP1k5eNWjQIP744w8GDRrE/v372bBhA4qiMH36dKpXr27QvaUIDQ1l27Zt+Pv7GzTrcY4cOfDy8uLKlSu4uroyZMgQatWqpQ2ShobaFJkNt9999x3169fHw8ND5zjx4sWLU7VqVdRqNS9fvmTq1KlUqlQJjUZDSEgIq1ev1nneyMhIHj9+rPezu2jRIi5dukRQUFC6z1dCrRBCCCGEcZKuyFmMod2S37x5Q7Vq1ShTpgx79+5N85f1gwcP0qhRI06ePEnt2rVTbXu3u+wXX3zByJEj2bVrF3Xr1uXEiRP85z//oWXLlmmu2a5dO6Kiorh06RK5c+fWWdf7hNp3pXRL7ty5M+fOnePChQv07t2b6dOnpzvTrT737t3DxsaGfv36ERAQkKljz507R/Xq1bVdn1PcuHFDu3ZuaGgojx49Infu3DRq1Ahra2vmzZtHnz59OHfuHCdPniQ5OZmKFSuiUqlQqVQ0btw4VRfgUaNGsX79em7fvp2pUJuYmEjNmjXJly8fhw4dytSxKU6cOIG7uztHjx6lTZs23Lt3j8uXLxsUat+VmW7JJ0+epG7duixcuJDBgwen2e7u7s7atWv54osvuHv3Lh4eHkycOJG8efPq7ert6+vLjBkzePToEebm5qnO9/DhQ6ytrenUqVO6Y9Ml1Ir/BdIVWTdjqkdq0c2YagHjqkdq0U26IutnbL8n6Yr8mTK05TZ79uzMmTMHjUajs5XM0dERCwuLDJessbGxYefOnfz666/cvHkTgJ9//pk///wz1X4ajYbt27fj7+//r4VaAFdXV6pVq8bGjRt5/Pgxx48fJyQk5L1CLUCxYsUYP3488+fP59KlS5k6tmrVqhQtWjTNMyxbtiz9+vVj48aNxMbGsmHDBpo0acLx48eZN28eACtWrCA2NhY3NzeOHj1KTEwMCxcupH379mnGtaa0kmc2mC5dupRz584RGBj4XqEWoG7duoSHhxMSEsKePXs4efIk7du3p1q1apk6T2ZabuvUqUOvXr2YNGlSmpb06Oho7ZcF5cuX5/z58/j7+2e4pJRaraZx48ZpQi3A5MmTSU5OZurUqXqPl1ArhBBCCGHcJNhmQYaG29atW/PVV1/h6enJ69evU23Lnj07jRo1Mngt1hYtWlCnTh0qVKjAtm3bsLa2JiAggDdv3pCYmIiHhwdOTk507txZ5/H/NNQ+ffqUcePGYWtry+PHj+nRowd37txh8+bN/2idW3jbzblUqVJ4enpm6riUWXr/Plb5zp07rFy5ku7du1OiRAntjLw1a9ZkyJAhAPTo0QMrKytWrFjBl19+ia2tLe7u7uzcuTPVWq4ps1Cnt0SNLnFxcUyaNInevXtTp06dTB37d8+fP2fFihVkz56dPn36sGnTJipVqsTq1asztdxRZsKtr68vr1+/1k529eDBAwYMGEDt2rVJTEzE1NSUDh06YG1tbVD94eHhOp/h2bNnWbx4MZMnT04zGVUKCbVCCCGEEMZPgm0WZUi4NTExISAggBs3bhAUFJRmu0ql4vDhw9oZftOTkJDAwYMH6d27NzExMXTt2pVRo0ZhZ2fH8OHDuXDhgt7xif8k1CYnJ7Ny5UpsbGwIDAzULt+yevXqf7TO7bty5szJnDlz+PXXX/nPf/6TqWNVKhXR0dH89NNPDB8+HFtbW0qWLEmfPn24ePEibm5uqNVq4uPjUavV9O3bF3jbnTYqKooHDx6wYcMG6tevzy+//IKrqytWVlY4Ozvj7e3NokWLADIdbL29vXn9+jW+vr6ZOu7v3h1Tu3fvXkJCQrTLQ7m5ufHll19y7Ngxg89naLgtVqwYEydOJDg4mDFjxmBtbc3PP/9MUFAQZ8+excnJyaD1bOHtbN8JCQlpxtcqioK7uzsVK1bU+5mUUCuEEEIIkTVIsM3CDAm3tra2DB06lKlTp3L//v1U21QqFW/evOHw4cMZXuv48eM8ffoUlUpFwYIFWbhwIdHR0RQqVIhFixZRokQJvvjiizTH/ZNQe/ToUerVq0fv3r1p3Lgxly9fZsqUKdquzu+zzq0+7dq1o2nTpowYMULvRE8pEhISCA8Px9vbm/nz5wNvW2B37NiBk5MTGzdu5MGDB0RGRjJz5kxcXFzIlSuXznMVKlSIzp07s2zZMm7cuMGVK1eYN28ehQoVIiAgAG9vb0xNTRk4cKC2u3RG93nhwgUWLFjApEmT3ruLNuifKKpMmTJs3LiRAwcOkJCQwJdffqltQTeEoeG2cuXKmJmZMWvWLLp160ZMTAzDhg3D3NwclUrFvn37dE4w9XdqtZoSJUpQuXLlVO//8ssvhIWFERAQQPbs2dMcJ6FWCCGEECLrkGCbxRkSbqdMmUKOHDkYP358qvdtbW0pVqyYQS1fGo0GS0vLVBNN2dnZYW9vT86cOTExMaFatWp4enpql7p531B7+/ZtunfvTv369UlKSuLgwYOsX79e50zLHyrcmpiYEBgYyNWrV7VhNYWiKFy6dIng4GBcXV0pUKAADRo0IDAwkFKlSlG0aFE6duzI9evXWbp0KZ06daJgwYLvVYO1tTWDBw9m69at/PnnnxQqVAhHR0f++usvPD09qVKlCqVLl6ZPnz6sW7eO2NjYNLWOGDGCsmXL4u7u/l7PAgyb/bhhw4acOHGCpUuXsmfPHmxsbNIsD6VPeuH24sWLtGzZknbt2mnDaKtWrVI9UxcXF548ecLJkyczvJZGo8HFxSVVb4JXr14xcuRIWrZsSatWrdIcI6FWCCGEECJrkWD7Gcgo3ObPnx8fHx9WrlyZKgikjBE1ZJytWq2madOmmJmZad87f/48ixcvxsfHhytXruDj48OSJUuwtrbmxx9/ZOTIkZkKte8u36JWq1m2bBknTpzA2dk53eM+VLitXr06AwcOxMfHh3PnzrF27Vp69+5N6dKlqVKlCiNHjuTJkyd4eXkRERHBw4cP2bJlC506dSIiIuK9rpmea9eu8eeffzJhwgT2799PXFwcu3fvpmPHjpw4cYJu3bpRtGhR7O3tGTVqFL/99htbtmxh7969zJkzhxw5crzXdTOzpI+ZmRn9+vUjJiaGwYMHp1oeKqPfw9/D7fr16xkxYgR2dnZcuXKFbdu2cerUKZo1a4anp2eqlvS6deuSN2/eDD+7KWOU/94NOTAwkFu3bjF37tw0x0ioFUIIIYTIeiTYfiYyCrcDBgygatWquLu7pwocLi4unDp1igcPHug995MnTzh27FiqcZ4pLYPlypVj+PDh5MyZk3HjxnHlyhVatWrFoEGDCAgIYPjw4RmGWkVR+Pnnn6lSpQpTp05l6NChxMTE0Ldv31RBOj3/NNw+f/6c3377DXg7UVX16tXp3r07kZGRdOrUif/85z/Ex8ezf/9+JkyYgIODg7Y2lUrFzZs3uXr1aqaumRGNRoO5uTmNGjUC4IsvvqBVq1bMnTuXs2fPcvfuXdasWUPNmjVZv349LVu2pGPHjuTPn59z585x4sSJNOsUZySz69SmyJcvH7Nnz9YugdSxY0eaNGnC6dOn0z3O3NyctWvXUrVqVbp27crixYuZOnUq58+fp127dpiamhIYGMi1a9cIDg7WHpctWzaaNGmSYbBN6Y3QrFkz7Xt3795l2rRpfP/992m6J0uoFUIIIYTImiTYfkbSC7fZsmUjMDCQI0eOsGHDBu37KWF13759es974MABkpKSUrV67dy5E7Vazdy5c1O1DBYrVoxChQoBb5e9mTdvHh07duTGjRs6z33q1CkaN25Mp06dsLOzM3j5Fl0yE26TkpI4fvw406dPp0mTJlhZWdGyZUu2b9+unUVYrVZz5swZ5syZQ8uWLbGwsNB5rkaNGpEtWzaDZ5g2lFqtpn79+nqvW6xYMbp3787KlSu5ffs2o0aNwsTEBDs7O2bMmIGDgwOFChXi22+/5ccff+TatWvpXu99Q+273l0eKjY2llq1ajFo0KA0y0OlCAsLo169epw6dYrSpUuTmJhI1apVyZkzp3afatWqaVuD3+16rVKpOHr0KM+ePdNbj0ajoXr16qnGGo8fP55cuXLxww8/pNpXQq0QQgghRNYlwfYzk164bdasGe3bt2fMmDE8f/4cgOLFi1O1atV0Q5laraZs2bJUqFABgNevX+Pp6clXX31F69attfv9fUzttWvXWLNmDUeOHKFy5cpMnDhRG0JSlm+pVasWf/75J7/99hs7duwwaPmW9OgLt4qicO3aNRYvXkyHDh0oWLAg9erVY8aMGeTJk4dZs2Zx4cIFbt++zeHDh7Wtx4a0/ObJkwdHR8cPGmwTEhIICwszeDbkBw8eaH/nKd2WDx06xLBhw7h37x5Dhw6lYsWKlC9fngEDBvDzzz/z6NEj7fEfItS+q0WLFpw5c4a5c+eycePGVMtDAVy/fp0OHTrQtGlTcufOzfHjx7l69Squrq46J5Ty9vbGzMyMiRMnat9TqVQkJiZy4MABnTUoiqJdAzjF8ePHWbVqFdOmTUu1XrCEWiGEEEKIrE2C7WcovXA7e/ZsHjx4gL+/v/a9lHG2+kLc3yffCQoK4saNGwQEBGjf0zVRlKmpKd27d+fy5cuMGjWK2bNnU6lSJbp160bFihW1y7ecPn2a5s2bf7D7fzfctmvXjv79+1O+fHntsi7379/H3d2dw4cPExcXx44dOxg+fDhVqlTBxMQEc3NzAgICOHjwIJs3bzbomiqVirCwMINm6TXEiRMntLNQG2LChAmYm5tr1301NzenQYMGeHt7Ex4ezqNHj9i+fTtff/01Bw8epFOnThQqVIg6deowcuRIvvzyS06dOvVBQm0Kc3Nz3N3dUy0PVa1aNbp06UKVKlU4duwYP/30E0eOHKFu3brpTihVoEABfHx8CAkJITo6GgBra2tKlSqld/Kzy5cvc+fOHe2XAynL+9jZ2dGvXz/tfhJqhRBCCCGyPgm2nyl94bZ8+fJ4enri7+/PzZs3gbeh7NatW8TExKQ5z+3bt7l48aI2YN2/f59p06YxZMgQbG1tgYxnP/7iiy+YNm0aCxcu5MmTJ6xbt47cuXOzceNG7fItH8KrV68IDQ1l7Nix/PTTT5iYmLBjxw62bt1K69at2b59O3FxcYSHhzNlyhScnJz0Xrt58+a0bt2a0aNHGzTLr4uLC3/99ZdBs/QaQq1Wky9fvlSzUOsTFRXF8uXL8fb2xsrKSuc++fLlw9XVleDgYC5dusTNmzcJCQmhQoUKBAcHc+7cOd68ecPkyZOZNWsWp06d0jnD9vsoWLAg8+fPx8fHhz/++IONGzdSqlQpdu7cSbdu3VLNVpxeuB00aBBVqlTRjhM3MTFBpVLpbSlXq9WYm5vTsGFDANatW8exY8cICgrSjo+WUCuEEEII8XmQYPsZ0xdux48fj6WlJWPGjAHeLtuib4yoRqPBxMSEpk2bAv9tGZwyZQpg2JI+ly5domXLlvTt2xcHBwdCQkIoUqQIzZs3p1evXty9e/e97i85OZno6Gj8/f356quvyJ8/Py4uLqxYsYLKlSuzfPlyJk2aRFxcHBYWFrRp0yZTY3fnzJnD3bt3mTNnTob7Ojg4kDdvXoOWTjKERqOhadOmZMuWLd39UlohbW1tGTRokMHnL1WqFB07duTu3bvkyJGDVatW4evri6mpKZMnT6ZmzZoULVqU7777jpCQEO2XIO8jIiKC+vXrM3HiRNq2bcuiRYtITEykXr16qZaHSqEv3KaMEz906BA///wz8PYLhfPnz+v8DL07RvnZs2eMGTOGDh060LhxY0BCrRBCCCHE50SC7WdOV7jNkycPM2bMYOPGjRw6dIg8efLw5Zdf6gxlGo2GmjVrUrBgQU6ePMmKFSuYOnUqVlZWGYba+Ph4RowYQfXq1bl8+TLbtm1Do9HQp08foqKiWLx4Mbt378bGxgY/Pz9evXqV4f388ccfhISE0KVLF4oUKUKtWrWYMmUKZmZmTJs2jdOnT3P//n3Wrl1Lr1698PHxee/Zkm1sbHB3d8fPz4/bt2+nu6+hs/Qa4unTpxw7dsygbsibNm3i8OHDBAYGZhiC3/XumNq9e/fSs2dPRo4cyW+//UZ8fDz79u2jX79+XLt2jf79+1OmTBkqVarE0KFD+eWXX9KEUV3u3r1Lz549cXR05NWrV+zfv59NmzYxaNAgLl68mGp5qCVLlqSawVlfuFWpVLi6ujJ69GhevHihne04NDQ01bUTExPZv3+/9hnOnDmTR48eMWvWLEBCrRBCCCHEZ0cR/xNCQkIUExMTZdCgQUpSUpKSlJSk1K1bV6lZs6aSmJio+Pj4KHnz5lUSEhKUyMhIBVBOnjypFClSRPHy8lKSk5OV+vXrK9WqVVMSEhKU5ORkZeTIkQqgBAcHp7pWYmKisnjxYqVgwYKKhYWF4ufnp7x8+VJnXfHx8cqIESOUbNmyKeXKlVO2bt2qJCcnp9q+detWZciQIYq1tbUCKKampoqDg4Myfvx4JSwsTHn16lWG9z937lwF0N6LoR4/fqwULlxY6datW4b7BgcHK+bm5srTp0/17pPybCMjI/Xus3PnTgVQrly5ku71nj9/rpQqVUpp27ZthrW96+nTp0qDBg2UPHnyKEeOHMlw/0ePHimbN29WBg4cqFSoUEH7O3B0dFQmTZqkHDhwQHn9+rV2/5cvXyrTp09XLCwslIIFCypLlixREhMTdZ77zp07Ss+ePRVAsbe3V/bv359q+5s3b5RvvvlGMTc3V3bs2KEoiqLExMQo5ubmire3t6IoilKjRg2lR48eiqL89/mGhIQogBIREaFcv35dyZEjhzJhwgRFURQlLi5OqVWrllKgQAHl1KlTmXp2QnzuAHnJS17ykpe8jOpl8P/D/sX/Pwoj8/dwe+TIEQVQli5dqv3no0ePasPBhg0bFEBRq9XKunXrFEDRaDTphtp9+/YpdnZ2CqC4ubkpd+7cMai2ixcvKi1atFAApWbNmsqAAQMUR0dHxdTUVAGUChUqKIMGDVI2b96sxMXFvdf9v2+4XbZsmQJkGAIvXbqkAMru3bv17mNIsB0+fLhSpkyZDGucMmWKkj17diUmJib9G3hHZkOtLr///rvy448/Kh07dlSsrKwUQLGwsFBatWql9OrVSylRooSSLVs2xdPTU4mPjzfonMeOHVPq1aunAMq3336rXL9+XbtNV7gdM2aMkitXLuXmzZvKqFGjlGLFiinJycna5ztgwADF0tJSSUxMVL799lulePHiytOnTyXUCpGBT/2XF3nJS17ykpe8/v4ylOF9F0WW16dPHwDtjLALFiygW7duTJgwgQsXLpA3b17UajVff/018HZsZM6cOalVqxb29va0a9eOpk2b6ux+fP36dUaPHs2WLVtwdHQkIiICBweHDGtSFIXz58+jVqsxNTUlZ86cREdHEx0dTYUKFZg9ezbt2rWjXLly//j+R4wYAYCnpycAfn5+qSYu0qdXr14sWLAAd3d3jh07hqmp7h78NjY2lCxZErVaTatWrd67TrVanWoWal1u3brFzJkz8fDwoGLFigad90Mt6VOuXDkGDBjAgAEDSEpKIjo6mjVr1rB69WptF+VChQrx559/smPHDlxcXChevHi656xXrx5Hjhxh7dq1jB07lsqVKzN69GjGjh2LhYUFGzZsoEuXLnTo0IEtW7YwYcIEVq1axdixY3Fzc2P27NlcuHBBe76IiAiaNm3K4cOH2bx5M6tXryYhIUG6HwthgJcJyqcugVzmb//7Zwy1gHHVI7XoZky1gHHVI7XoZky1wH/ryVlj6CeuBF6dWgAYx7NJeS6GkDG2/2P+PubW19eXZ8+eMWPGjDRjRI8dO0aDBg2YN28eDx48YNasWWlC7bNnz5gwYQJVqlTh6NGj2uVb0gu1d+/eZfXq1fTo0YPixYtTvXp1xo0bx+vXr5kyZQpHjx5l9uzZ/Pnnn/j4+LBz504SEhI+yP3rW+c2PWZmZgQFBXHixAnWrFmjd7+UWXr/yQRSd+7cSTULtT5eXl7kzZuXCRMmGHTeD71ObYq4uDhCQkKYP38+RYoUYevWrezZs4devXpx9uxZ3NzcKFGiBNWqVcPDw4Pdu3fz9OlTnecyNTWlR48e2uWhZs2aRaVKlfjpp58wMzNLNeb2wIED+Pr6sm7dOszMzMiePXuqz+7Zs2dp2rQp7u7u1KtXj1atWkmoFUIIIYT4jEmw/R/0brj18/PDy8uLoKAg7OzsOHr0KC9evAAgOjqaunXrMnPmTEaMGMHixYu1oXbIkCGsWbMGGxsb5syZw+jRo7l8+XKa5Vvg7WRIu3btwsPDg6pVq1KiRAnc3Nw4f/48PXr0YO/evcTHx6PRaPDy8sLR0ZGRI0cSExNDp06d8PDwwN7enj179nyQ+3+fcOvs7Eznzp0ZO3as3mAGbyc3OnfuHPfu3Xuv2lJCccqkSLocPnyY9evX4+fnZ9Asz/9GqE1ISCAoKAgbGxvWr1/PnDlzOHv2LO3bt+err77C39+f6OhoYmNjWb9+PfXq1dMuu2RlZUXDhg2ZOnUqR48eTbP2b8ryUBcvXsTR0ZEePXrg5OREdHR0qnBboEABateujZeXF05OTqm+UEhOTiY+Pp7Tp08zdepUvvrqKwm1QgghhBCfMQm2/6PeDbe3bt2iWLFiHDp0iMTERCIjI4G368KePHkSS0tLXrx4oQ21devWpX79+vTs2ZMGDRpw6dIlpk6dyhdffAG8nZH2yJEj+Pj44OzsjJWVFW3atGHbtm18+eWXrF+/ngcPHhAVFYW/vz8qlYpcuXKlqbFw4cL8+OOPREVFUahQIVq0aEGbNm24cuXKP77/9wm3/v7+PH78GF9fX7376Jul11DvzkKtS3JyMu7u7tSuXRs3N7cMz/dvhNrffvsNOzs7PD096dy5MzExMXh4eOhcE7hw4cJ06dKFkJAQ/vjjDy5fvkxgYCAFChRg9uzZ1K9fnwIFCtCuXTsWLFjA5cuXtb+LcuXKsXnzZsLCwnjx4gX16tWjf//+BAQE0KZNGzp27EjHjh2JjIzEysqK/fv3a1v2ixQpQmBgoPbLCAm1QgghhBCfNxlj+z/s3TG3Li4uqNVqChYsyPHjx4G3LWdqtZoWLVoQHBzMtGnTOH78OMOGDcPe3p79+/fTqFEjFEXh8uXLqNVqNBoNYWFhPHnyhHz58tGkSROCgoJQqVRUrFjRoDGtf1ejRg3279/Pli1bGDVqFNWqVcPd3Z2JEyeSL1++977/zI65LV26NF5eXvj5+dGvXz8qVKiQZp/ChQtjb2+PWq2me/fumapHURQ0Gg09e/bUu8/KlSuJiooiPDxc71jfFB861F65cgVPT092795N48aN2bBhQ6aCoomJCTY2NtjY2DB06FASExM5efIkarUatVqNh4cHiYmJlCpVCpVKhYuLC82aNaNx48ZERUWxbNkyJkyYwJYtW/Dy8iIpKYlJkybRsGFDwsLCeP78OefOnQPefnbv3bvHhQsXuHv3roRaIYQQQojPnIliSFOV+KwtX76cfv36UbRoMRKK22Fh35zEHPlQnv0JV8O5e3QnrVt/TVhYGLly5WL69Om0adOG/fv3a8PsrVu3MDc358svv9SGkjp16mRqbVVDvHz5kjlz5uDn58cXX3yBr68vvXr1wszM7L3PGRAQgKenpza0phduX7x4QaVKlahbty5bt27Vuc+oUaNYt24dd+7cSXOuqKgoateuTWRkJLVq1Uq17ezZs9jZ2bF3716dY2yfPHmCjY0NTZs2Zd26dene04cMtX/99RdTp04lKCiIkiVLMnv2bL755pv3+pIiPc+ePePAgQNoNBrUajXnz58H3n6x4eLigkqlomrVqsyePZv58+dTqlQpChcuTGRkJKamZuSu0oBSTboS99qExMexZPvjGK8uhxMaqpFQK4SBTExMjGqyEGOoBYyrHqlFN2OqBYyrHqlFN2OqBWTyKH1ymZsY1LMSJNiK/xcSspyxOy5hYdsIJTkJE1Mz7c+EmCPE/uJP27auFC9enEOHDnH69GkAqlWrpg0dDRs21HZH/rfdvn2bsWPHsnbtWmrWrElQUBDOzs7vfb7MhNv169fTtWtXNBqNzrGwe/bsoUWLFpw/fx5bW9tU29ILtgEBAYwbN474+HidXbO9vLwIDg7m8uXLlCpVSm99HyrUJiUlsXz5ciZMmMDz588ZP348np6eOmv7N6S0tKZ8eXLv3j1y5MiBk5MTNWrU4OjRoxw9epRChQqjfOmm87PbsHQuVg5sgqnphw3hQnyuJNjqZkz1SC26GVMtYFz1SC26GVMtIMFWn8wEWxljKwAoWLs5FraNADAxNUv109y6Pha2zmzdupUtW7Zgb2/P6tWruXv3LmfPniUgIIBWrVp9tFALULJkSe0MzNmyZaNhw4Z06dKFmzdvvtf5MjPmtkuXLjg5OWm7zv6ds7Nzmll6DaFWq3F2dtYZHGNiYggICGDs2LEfJdQePHiQOnXqMGDAAFq0aMGVK1eYMGHCRwu1AMWLF6dHjx6sXr2aO3fucO7cOWbMmEGuXLn48ccfOXr0KHny5CGpZA29n92DN1+y88zdj1azEEIIIYT4NGSMrQBg3fGbmJpAsq48pyRj3bIPY38YQrly5bStmffu3Xvv2X8/lBw5crBw4UJ2795NcHAw1tbWuLm54ebmlukQ1qhRIzw9PZk5cyb3799n2LBheltuBw8eTPfu3Zk4cSKdOnVKs93Ozo4tW7akaUW+ePFiqp8pEhISCAsLo3///kRFRaU534gRIyhQoADNmjXTuR3edpMeNmwYV65cYcGCBeTIkUPvvvrcu3ePwMBANBoNVatWZeXKlVSvXp3Y2FhiY2Mzda5/Q8OGDWnYsCEJCQmcPXuWiIgI9mFH4v+30P6dqcnbz3bbGiU+QbVCCCGEEOJjka7IAgCnmaHcefxK7/bEvx5wZ1Gfj1iREIYpMXg52fIV1r/dMhfhXk0/YkVCZF3SFVk3Y6pHatHNmGoB46pHatHNmGoB6YqsT2a6IkuLrQCgZP7c3Pvrld4W22yv/9L+a6VKlahXrx716tWjRo0a5MyZ8+MVaoDbt28TGBhIWFgY9vb2jB49mipVqmTqHGvXrmXu3Lm4ubnpbbl9+PAh7du3x9XVldGjR6fadv78eXr27MnSpUtTjaW9ePEi3bt356effkpV04IFC9iyZQsajSbVbMeJiYl06dIFS0tLli5dqrOOv7fU2tnZGXyfiqLw22+/MW/ePB4/fkz37t3p3bs3uXPnNvgcH0N8fDzHjx8nIiKCiIgI7t+/j5mZGXZ2dii5TXmMgkLaZ2NqAiXzf7zu00IIIYQQ4tOQYCsA6OpQmojrcbo3mpgSNKwjdXw6aifz2bt3L6tXryZHjhw0aNBAOxNyzZo1M1yG5t9Wq1YtXF1dCQ0NxcPDgx49etCrVy98fX0pWrSowecoWbIknp6eFC1aVO+EUpMnT2b8+PFMmjQp1URR9vb2uLu7c+vWLfr165fmuCpVqqQKvOfPn6d58+bUqVMn1X7z58/nxo0bREZGUrNmzTTnSRlTe+3aNTQaTabG1J44cQIPDw+OHDnCN998w6xZsyhfvrzBx/+bXr58yaFDh7QzJJ86dQoAW1tbOnfurJ2sLE+ePGw/dQf3jad0nidZefvZFkIIIYQQnzeZPEoA0MauOK72xYG3rVzv/nS1L04bu+KUKFGCnj17smbNGu3EUX5+fmTPnh0fHx/q1KlD4cKF6dy5M0uXLuXGjRuf5mb+X7NmzYiOjmb+/Pls374dGxsb/P39ef36tUHHGzKhlLu7O2XLlsXDwyPVdjMzM5o1a2bQBFLx8fGcOHEizRI/jx494ocffqBv377phtrMThR17949evfujYODA0+fPmXfvn1s2bLlk4ba5ORkIiMjmTFjBi4uLuTPn5/mzZuzZs0aqlWrxqpVq7hz5w7nz58nMDCQr7/+mjx58gCGfXaFEEIIIcTnTcbYCq3kZIWdZ+6y7vhNbse/pGT+XHR1KE0bu+IZLpfy5s0bjh49qm1hO3HiBMnJyVSoUAGVSoVKpaJJkybkz5//I91NanFxcXh7e7NgwQLKli3LnDlzcHV1NWgt1oyWAtqxYwdt27Zlx44dtGnTRvv+jz/+yNChQ3n06BH58uUDdC/3s23bNr755huuX79O2bJltcd///33rFmzhitXrlCkSJFU13yfUPv69WsCAwOZNm0aOXLkYNq0afTr1++DrzVsqOvXr2s/L6GhocTFxWFhYUGjRo20PQCqVq1q0O/on3x2hRD/JWNsdTOmeqQW3YypFjCueqQW3YypFpAxtvrIOrbik3v8+DFhYWHaNUhjYmIwNTWlTp062nVvv/zyS3LkyPFR67pw4QIjRoxg7969uLi4EBgYSNWqVTM8Lr1wqygKzZs35/r165w7d057T7///jsVKlTgl19+oW3btoDuYDtkyBDUajUxMTHac547dw57e3v8/f0ZOXJkqloyG2oVRWH79u2MHDmSmzdvMnToUCZPnvzRv2SIj49n37592s/EtWvXMDU1xcHBQfuZcHR0JHv27B+1LiHEf0mw1c2Y6pFadDOmWsC46pFadDOmWkCCrT4yeZT45CwtLWnfvj3t27cH4I8//tC2zi1ZsgRfX19y585Nw4YNta1z1atXN6h17p+wtbXlt99+Y/fu3YwYMQJ7e3sGDx6Mt7c3VlZWeo8bMWIEAJ6engCpwq2JiQkBAQHY29sTHBzMqFGjAChfvjzlypVDrVZrg60uarUaFxcX7b8rioKHhwcVKlRg2LBhqfbNbKg9d+4cHh4ehIaG0rx5c3bt2pXpibTe1+vXrzly5Ij29x4ZGUlycjI2NjY0b94clUpF48aNsbS0/Cj1CCGEEEKIz5eMsRUfRZkyZejbty8bNmwgNjaWqKgoJk+eTFJSEhMmTMDe3p5ixYrRvXt3Vq5cye3bt/+1WkxMTGjdujXnzp1jxowZrFq1CmtraxYsWEBiYqLe49Ibc1u1alUGDx6Mj49PqvVeVSoVGo1G7zlv3LjB1atXU42v3bFjB6GhocydOzdV62VmQu2jR4/4/vvvsbe35+bNm+zatYtff/31Xw21iqJw5swZ5syZQ8uWLbGysqJp06YsWbKEChUqsGTJEm7cuMHly5dZsGAB7dq1k1ArhBBCCCE+COmKLD65ly9fEh4erm3Zi46ORlEUKleurB2f26hRI/LmzfuvXD82NpYJEyawfPlybG1tCQwMTNWC+nf6uiXHxcVhbW1N+/btWbZsGQCbN2+mY8eO3Lx5k1KlSqXpirxs2TIGDhzIw4cPyZ8/P69fv8bW1hZra2t+/fVX7bkNDbUJCQksXrxY+6XBDz/8wLBhw/617r23b9/Wdi3WaDQ8ePCAnDlz4uzsrG2Jt7e3/+QzZQshDCNdkXUzpnqkFt2MqRYwrnqkFt2MqRaQrsj6ZKYrsvxtU3xyuXLlwsXFhRkzZhAZGcmDBw/YuHEjDRo0YMeOHbi6umJlZUWDBg2YMmUK4eHhJCQkfLDrFylShGXLlnHy5Eny58+PSqWiXbt2XL16Vef++lpurays8PHxYfny5URGRgLQpEkTTExM9LbaajQa6tSpox3vGhgYyB9//EFAQECmQ61araZGjRq4u7vz7bffEhMTw8iRIz9oqH3y5Ak7duxg2LBhVKlShVKlStG3b18uX75M79690Wg0xMfHs3fvXkaPHm0Uyz8JIYQQQojPn7TYCqOmKIp2jVa1Ws2+fft4/PgxefLkoXHjxtpWwcqVK3+Q8bmKorBp0yZGjx5NbGwsI0aMYMKECdqlZd6lq+U2MTGRGjVqYGlpyaFDhzAxMaFu3bpYW1uzbt26VC22NWrUoEiRIgwcOJBp06Zx7949bGxs6Nu3L4GBgYBhofbq1auMHDmSHTt24OzsTFBQkM7lgd5HQkICERER2ucfERFBUlISZcuWTTXbdcGCBT/I9YQQn5a02OpmTPVILboZUy1gXPVILboZUy0gLbb6yORR4rNhYmJCxYoVqVixIoMGDSIpKYnIyEht99eRI0eSkJBAiRIltDPruri4pFkeJzPX69y5M23atGHWrFnMnDmTVatW4efnR8+ePVO1PuqaUCpbtmwEBQXh4uLCpk2b6Ny5My4uLoSEhJCcnJzqWqdOneLhw4fabs8TJkwgR44cTJ48Gcg41D558oTp06cTEBBAsWLF2LhxIx07dvxHAV9RFC5duoRarUatVrN//36ePXuGpaUlzZo1Y/78+ahUKsqXL/+vT/QlhBBCCCGEoaTFVmRpz58/59ChQ9ogdvbsWQCqV6+uDbkNGzbEwsLivc5/8+ZNvLy82LBhA3Xq1CEoKIj69eun2kdXy227du2Iiori0qVLHDt2jGbNmnHq1CmSkpK0LbYajQZvb2/i4uI4c+YMDg4OLFy4kMGDB6cbapOTk1m5ciXjx4/nyZMnjB07llGjRpE7d+73usf79+9rx8hqNBru3LmDubk5Tk5O2lbZWrVqYWZm9l7nF0JkHdJiq5sx1SO16GZMtYBx1SO16GZMtYC02Ooj69iK/1n3798nNDRU23X2zp07ZM+enfr162tbdGvXrp3pkHb48GHc3d2Jioqia9euzJw5k5IlS2q3/z3cXrt2japVqzJ+/Hi8vLy042+bNm2qDbZeXl6Ym5uze/dunJycePbsGVFRUbx69UpvqA0PD8fd3Z3IyEi6du3KjBkzKFWqVKbu5fnz5xw8eFDb6p3yZYCdnZ32ywBnZ+f3/jJACJF1SbDVzZjqkVp0M6ZawLjqkVp0M6ZaQIKtPhJsheC/3WpTQu7+/ft5+vQplpaWNG3aVBviKlSoYFC32pSW0nHjxvHs2TO8vLxStZT+PdyOGzeOefPmcenSJfr374+JiQm+vr7Url2b8PBwmjZtiq+vL0WLFqVbt26Ehobi4OCgM9S+23Jcu3ZtgoKCcHJyMug5JCUlcfLkSe1zOHLkiLb7dkqLbLNmzd67+7YQ4vMhwVY3Y6pHatHNmGoB46pHatHNmGoBCbb6SLAVQoeEhASOHz+ubak8duyYdiKklNbcZs2aUaBAgXTP8+TJE6ZNm0ZgYCDFihVj1qxZ2rGt74bb8ePHU6lSJRo3bkzt2rX54YcfCA0NpX79+ixcuJAhQ4Zw7NgxOnToQL169Vi1alWaUPvixQvtWN+8efPi5+eHm5tbujMNp0y4ldI9OywsTDvhVpMmTbT3WqlSJRknK4RIRYKtbsZUj9SimzHVAsZVj9SimzHVAhJs9ZHJo4TQIWXcqJOTE1OmTOHJkyccOHBAGwCXLVuGiYkJNWvW1LbmNmjQgJw5c6Y6T968efH396d///6MGjWKzp07M3/+fIKCgtJMKOXr60ufPn346quvePnyJadPnwbg2LFjFClShF27dvHw4UOmTJmSKtQ6OjqyYcMGxowZo52defz48XrX8n348GGqLth//PEHZmZmODo64uHhgUqlom7dupibm/+LT1gIIYQQQohPQ1pshfh/t2/fTjWJUmxsLDlz5qRBgwbaLrv29vZpWkv37t3LiBEjuHjxIn379mX69OmsXbsWT09PxowZQ2hoKIqicPPmTdq0acOKFSuoXLkylStX5rfffmPo0KFERERoQ2327Nlxd3cnPDyctm3bMnv2bCpWrJjqmi9fviQ8PFwbyqOjowGoUqWKNpQ3atRIbxAWQghdpMVWN2OqR2rRzZhqAeOqR2rRzZhqAWmx1Ue6IgvxDymKwtmzZ7UtoAcPHuTFixcULFiQZs2aacNjmTJlgLfdnBcvXszkyZNJSkrihx9+IDk5mTFjxtC9e3d++uknHBwcePbsGRcuXACgbt263Lp1i7Jly3L+/HnWr1/Ptm3bWL58Oba2tgQGBmqXAkpOTubUqVPaeg4fPsyrV68oUqRIqm7U705oJYQQmSXBVjdjqkdq0c2YagHjqkdq0c2YagEJtvpIsBXiA3v9+jVHjx7Vjs89efIkycnJWFtba4NlkyZNSEpKYvLkySxatIgKFSrQsGFDQkJCqGJblQc5S5KtUmOyWRYh8XEsT0/9SvHE+9y/dxc3NzdWr15NtmzZmDp1KgMHDtS2IKvVakJDQ3n06BG5c+emUaNG2mBdrVo1GScrhPhgJNjqZkz1SC26GVMtYFz1SC26GVMtIMFWHwm2QvzL4uPjCQsL03YFvnbtGqamptStWxeVSkX58uVZs2YNYWFh2FSqTJxNayyqNkZJTsLE1Ez78+WlQ2Q/uY579+7Sp08fnJyciIiIQK1Wc/XqVUxNTalTp462K7SjoyM5cuT41LcvhPhMSbDVzZjqkVp0M6ZawLjqkVp0M6ZaQIKtPhJshfjIrl+/rh2b+27rauXKlbltVpRczYboPdbk6Eq+eHSJCxcukJycTMWKFbUtsk2aNCF//vwf8U6EEP/LJNjqZkz1SC26GVMtYFz1SC26GVMtIMFWHwm2QnxCKeNhU1pzzxdVkb1EFUxMzdLsqyQnkXT/Ck6vTmjDbNmyZT9+0UIIgQRbfYypHqlFN2OqBYyrHqlFN2OqBSTY6iPBVggj8uUMDff+eq13e3HLnBzxavYRKxJCCN0k2OpmTPVILboZUy1gXPVILboZUy0gwVYfWcdWCCNS2sqC2CevSdbxZ9LUBErlz/3xixJCCD1S/nJlDIypFjCueqQW3YypFjCueqQW3YypFvhvqDQGxvZsMmKa8S5CiH+iq0NpnaEWIFl5u10IIYQQQgjx/qTFVoh/WRu74oReesCO03cxNXkbZlN+utoXp41d8U9dohBCaBlL1zMwjlrAuOqRWnQzplrAuOqRWnQzplrAuOoxxm7RhpBgK8S/zNTUhMBONWhWuTDrjt/kdvxLSubPRVeH0rSxK46padbq5iGEEEIIIYSxkWArxEdgampC2xolaFujxKcuRQghhBBCiM+OjLEVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlSbAVQgghhBBCCJGlmSiKonzqIoQQQgjx6ZmYmHzqEoQQQohUDI2r2f7lOoQQQgiRRch33UIIIbIq6YoshBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJLk2ArhBBCCCGEECJL+z9SqxNCN5fDgwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize(G_complete, pos, '完全图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20f4984c-ecbb-4af6-aeba-d69daf252b14",
   "metadata": {},
   "source": [
    "## 完全二分图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d957bbc9-bc3e-4d75-b6f5-1853ce64214d",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete_bipartite = nx.complete_bipartite_graph(5,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2ef0505d-ee32-4400-9a8c-1606a6ec997c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "left = nx.bipartite.sets(G_complete_bipartite)[0]\n",
    "pos = nx.bipartite_layout(G_complete_bipartite, left)\n",
    "visualize(G_complete_bipartite, pos, '完全二分图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6680323e-a0d1-479e-bc04-ba688f5c8707",
   "metadata": {},
   "source": [
    "## 正四面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7124e44c-9a3c-47e4-89c5-f958b14d4bd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JLN2/fx+LFy9G586dUbp0aXz11VcAgLlz5+KPP/7Ali1b0LNnT5baPHTlyhUsWbIEP/zwAxwcHPL9/oGBgcjJyUFERES+35uIiIiIchdPRSaz8eDBA0RFRUFVVWzduhXZ2dlwc3ODJEkIDAxEyZIlRUc0K3369EFoaCiSkpKE7VPu0KED9Ho9tm3bJuT+RMaGpyIbP56KrA08cdf48RlpA09FJvqvR48eITo6GqqqYsuWLXj69Clat26NadOmITAwEGXKlBEd0Sxdu3YNixYtwujRo4UeviXLMnr37o3bt2/zjQ0iIiIiDeNSZDI5qampWLNmDfz9/VGyZEl8/PHHuHv3LiZOnIhr165h79696Nu3L0utQBMnTkSBAgXw9ddiJ0MBAQHQ6XQIDw8XmoOIiIiI3g0ntmQS0tLSsGHDBqiqig0bNiA9PR1NmzbF2LFjERwcjIoVK4qOSP9148YNLFiwACNGjEDBggWFZilevDg6dOgARVHQu3dvoVmIiIiI6O2x2JJmpaenY/PmzVAUBevWrUNaWhoaNmyI//znPwgODoazs7PoiPQSP//8M+zs7PDNN9+IjgLg+XLkzz//HDdv3uQUn4iIiEijuBSZNCUzMxPR0dH48MMPUbJkSQQEBOD8+fMYPnw44uPjcfToUQwaNIil1kjdvHkT8+bNw4ABA1CoUCHRcQAA/v7+sLS0RFhYmOgoRERERPSWOLElo/f06VNs27YNqqpi7dq1ePToEWrXro1BgwZBkiRUq1ZNdER6TZMnT4aNjQ369esnOsoLjo6O6NixIxRFMZopMhERERG9GRZbMkrPnj3Djh07oKoqIiMj8eDBA1SvXh0DBgyAJEmoWbOm6Ij0hm7duoW5c+di0KBBKFKkiOg4fyHLMj755BNcu3YN5cuXFx2HiIiIiN4Qiy0ZjaysLOzevRuKoiAiIgL3799HlSpV0LdvX0iShNq1a0On04mOSW9p8uTJsLKyQv/+/UVH+RtfX19YW1sjNDQUAwYMEB2HiIiIiN4Qiy0JlZ2djT179kBVVYSHh+POnTuoXLkyevXqBVmWUa9ePZZZE3Dnzh3MmTMH3333HRwdHUXH+ZvChQvD09MTiqKw2BIRERFpEIst5bucnBzExsZCVVWEhYXh1q1bqFSpEnr06AFJktCoUSOWWRMzZcoU6PV6fPvtt6KjvJIkSfjwww+RnJwMJycn0XGIiIiI6A2w2FK+yMnJwcGDB6EoCsLCwnDjxg2UL18e3bp1gyzLaNq0Kcusibp79y5++eUX9OvXD8WKFRMd55W8vb1ha2uL0NBQ/PDDD6LjEBEREdEbYLGlPGMwGHD48GEoioLQ0FBcu3YNZcqUQXBwMGRZRvPmzaHX8xOnTN20adMAAN99953gJP+sYMGC6Nq1KxRFYbElIiIi0hgWW8pVBoMBR48ehaqqUFUVly9fRqlSpRAUFARJktC6dWuWWTNy//59zJo1C19//TWKFy8uOs6/kiQJsiwjISEBrq6uouMQERER0WtisaV3ZjAYcPLkSSiKAlVVkZiYiOLFi78os++99x4sLCxExyQBpk+fjuzsbHz//feio7yWrl27wt7eHqqqYtiwYaLjEBEREdFrYrGlt2IwGHD69GmoqgpFURAfH4+iRYsiICAA8+bNQ9u2bWFpyX+9zFlKSgpmzJiB3r17o2TJkqLjvBYHBwd4e3uz2BIRERFpDJsHvZGzZ8++WGZ87tw5FClSBP7+/pg5cyY6dOgAKysr0RHJSMycORPPnj3T3H5VWZYREBCACxcuoFq1aqLjEBEREdFrYLGlf3Xx4sUXy4xPnz6NQoUKwdfXF5MmTULHjh1hbW0tOiIZmYcPH2L69On46quvUKpUKdFx3kjnzp1RoEABKIqCkSNHio5DRERERK+BxZZeKiEh4cVk9uTJkyhQoAB8fHwwduxYeHh4wNbWVnREMmKzZs1CRkaG5qa1AGBnZwdfX1+oqspiS0RERKQRLLb0QlJSEkJDQ6EoCo4dOwZ7e3t4e3tj1KhR6Ny5M+zs7ERHJA149OgRpk6dil69eqFMmTKi47wVWZaxcuVKnDlzBrVq1RIdh4iIiIj+BYutmbty5QpCQ0OhqioOHz4MOzs7dO3aFUOGDHlxQizRm/jll1/w5MkTDBo0SHSUt+bh4YHChQtDURSEhISIjkNERERE/4LF1gxdv379RZk9cOAAbGxs4OnpidWrV8PLywsFChQQHZE06vHjx5gyZQq++OILlCtXTnSct2ZjYwM/Pz8oioLRo0dDp9OJjkRERERE/4DF1kzcvHkT4eHhUBQFsbGxsLKyQufOnbF8+XL4+PigUKFCoiOSCZgzZw5SU1MxZMgQ0VHemSzL+O233xAXF4d69eqJjkNERERE/4DF1oTdvn0b4eHhUFUVMTExsLCwgIeHB5YuXQpfX18UKVJEdEQyIU+ePMHkyZPRs2dPlC9fXnScd+bu7g5HR0coisJiS0RERGTk9KIDUO66e/cu5s+fD3d3d5QpUwbffPMNrK2tsXDhQty6dQsbNmzAJ598wlJLuW7u3Ll4+PAhhg4dKjpKrrCyskJAQAAURYHBYBAdh4iIiIj+AYutCbh//z4WL16MTp06oXTp0ujduzcA4Ndff8Uff/yBLVu2oGfPnihatKjgpGSq0tLSMGnSJPTo0QMVK1YUHSfXyLKMxMREHD16VHQUIiIiIvoHXIqsUQ8ePEBUVBRUVcXWrVuRnZ0NNzc3zJo1C4GBgShZsqToiGRG5s2bh/v372PYsGGio+Sqdu3aoUSJElBVFY0bNxYdh4iIiIhegRNbDXn06BFWrFgBHx8flCpVCj169MCjR48wbdo0XL9+Hbt27ULv3r1Zailfpaen4+eff8Ynn3wCJycn0XFylaWlJQIDA6GqKpcjExERERkxFlsjl5qaijVr1sDf3x8lS5bExx9/jLt372LixIm4du0a9u7di759+6JMmTKio5KZWrBgAe7cuWNy09o/SZKEy5cv49ChQ6KjEBEREdEr6AwcQxidtLQ0bNiwAaqqYsOGDUhPT0fTpk0hSRKCg4NNag8jaVtGRgZcXFzg4eGBJUuWiI6TJ7Kzs1G+fHl88MEHmDp1qug4RHmKn9lMRETG5nXrKoutkUhPT8emTZugqirWrVuHtLQ0NGrU6EWZdXZ2Fh2R6G9++eUX9O/fH+fPn0eVKlVEx8kz33zzDSIjI3HlyhXo9VzoQqaLxZaIiIwNi60GZGZmYsuWLVAUBdHR0UhNTUW9evUgyzKCg4Ph6uoqOiLRK2VmZsLFxQXt27fHsmXLRMfJU7GxsWjTpg327t2L1q1bi45DlGd0Oh3Sn/FlgTGzs3r+5oNt/a8FJ6F/knFiNgDw75MR+/PvEp+RcbOz0r12seWpyPns6dOn2LZtG1RVxdq1a/Ho0SPUrl0bgwYNgiRJqFatmuiIRK9l8eLFuHnzJn788UfRUfJcy5YtUa5cOSiKwmJLREREZIQ4sc0Hz549w44dO6CqKiIjI/HgwQNUr14dsixDkiTUrFlTdESiN/L06VO4urqiTZs2WLlypeg4+WLAgAFYs2YNrl27BgsLC9FxiPIEJ7bGjxNbbeDE1vhxYqsNnNgagaysLOzevRuKoiAiIgL3799HlSpV0LdvX0iShNq1a3MvE2nW0qVLce3aNQwfPlx0lHwjyzKmT5+OvXv3om3btqLjEBEREdH/YLHNRdnZ2dizZw9UVUV4eDju3LmDypUro1evXpBlGfXq1WOZJc17+vQpxo0bB0mSUKNGDdFx8k2zZs1QsWJFKIrCYktERERkZFhs31FOTg5iY2OhqirCwsJw69YtVKpUCT169IAkSWjUqBHLLJmU5cuX48qVK9iwYYPoKPlKp9NBkiT89ttvmDVrFiwt+euTiIiIyFhwj+1byMnJwcGDB6EoCkJDQ3Hz5k2UL18ekiRBkiQ0bdqUZZZM0rNnz1CtWjU0btwYqqqKjpPvjhw5giZNmmDbtm1wd3cXHYco13GPrfHjHltt4B5b48c9ttrAPbZ5wGAw4PDhwy/K7LVr11CmTBkEBwdDlmU0b96cn29JJm/lypVISkpCVFSU6ChCNGrUCJUrV4aiKCy2REREREaExfYfGAwGHD16FKqqQlVVXL58GaVKlUJQUBAkSULr1q1ZZslsZGVl4aeffkJAQADq1KkjOo4Qfy5Hnj9/PubMmQMrKyvRkYiIiIgILLZ/YzAYcPLkSSiKAlVVkZiYiOLFi78os++99x4/6oPM0qpVq3Dp0iWEhYWJjiKULMuYMGECduzYgc6dO4uOQ0RERETgHlsAz8vs6dOnoaoqFEVBfHw8ihYtioCAAMiyjLZt2/KgGDJr2dnZqFGjBmrWrIm1a9eKjiOUwWBA9erV0bJlSyxZskR0HKJcxT22xo97bLWBe2yNH/fYagP32L6ms2fPvlhmfO7cORQpUgT+/v6YOXMmOnTowGWGRP+1Zs0axMfHY82aNaKjCKfT6SDLMmbOnIlff/0VNjY2oiMRERERmT2zm9heuHDhRZk9ffo0ChUqBD8/P0iShI4dO8La2lp0RCKjkp2djdq1a8PV1RXr1q0THcconD59GnXq1EF0dDS8vb1FxyHKNZzYGj9ObLWBE1vjx4mtNnBi+38kJCS8KLMnT55EgQIF4OPjg7Fjx8LDwwO2traiIxIZrdDQUJw/fx7Lli0THcVo1K5dGzVr1oSqqiy2REREREZAc8U2J8eAdXE3sOrwFVxLSUN5R3t0a1oR3nXLQq///58dm5SUhNDQUCiKgmPHjsHe3h7e3t4YNWoUOnfuDDs7O4E/BZE25OTkYMyYMfD09ESTJk1ExzEqsixj8uTJyMjI4JtjRERERIJpqtjm5BjwrXIc0XE3odcBOQbg5sMMHEq6jx3nb+O7FkURHhYGVVVx+PBh2NnZoWvXrhgyZAi6du0Ke3t70T8CkaaEh4fj7NmzWLRokegoRkeSJIwaNQqbNm2Cv7+/6DhEREREZk1Te2yjTlxHf+XEK//8TtTPyE48BE9PT8iyDC8vLxQoUCD/AhKZkJycHNSrVw9ly5bFli1bRMcxSvXq1UONGjV4qBaZDO6xNX7cY6sN3GNr/LjHVhtMdo/tqsNXXkxq/8aQgyYfDEB0//YoVKhQvmcjMjVr167F6dOnMW/ePNFRjJYsyxg7dizS0tK4IoSIiIhIIL3oAG/iWkray0stAOj0eGZdiKWWKBfk5OQgJCQE7u7uaNmypeg4RkuSJKSlpWHDhg2ioxARERGZNU0V2/KO9vif86H+ypCDojZcSkCUG6Kjo3Hy5EmMHDlSdBSj5urqioYNG0JRFNFRiIiIiMyapoptt6YV/3Fiu2vBGHTr1g1nz57N11xEpsRgMCAkJATt2rVDmzZtRMcxerIsY8OGDUhNTRUdhYiIiMhsaarYetctC596ZQHgxeRWh+dN16t2Kfz8tYzY2FjUrl0bsizj9OnToqISadb69etx/PhxTmtfkyRJyMjIwLp160RHISIiIjJbmjoVGfjr59ieSLiKp/dvYnrfoBefY5uZmYnffvsN48aNw+XLlxEYGIiRI0eibt26oqMTGT2DwYCmTZvC3t4eMTExouNoRvPmzVG6dGmsXbtWdBSid8JTkY0fT0XWBp6KbPx4KrI2vMmpyJqa2AKAXq+Db/1yUHq1wMwOhZG86FtUNNyG/r8jXBsbG/Tq1QsXL17EwoULcezYMdSrVw/+/v44fvy44PRExm3Tpk04cuQIRo0aJTqKpkiShE2bNuHhw4eioxARERGZJc0V2//Vvn17FCtW7KUHt1hbW+Ozzz7DhQsXsGTJEpw6dQoNGzaEj48Pjh49KiAtkXEzGAwYPXo0WrVqhXbt2omOoynBwcF4+vQpoqOjRUchIiIiMkuaLrZWVlYICAiAoiivHFFbWVmhR48eOH/+PH777TecP38ejRs3hpeXFw4fPpzPiYmM19atW3H48GGMGjUKOt2rjh+nl6lQoQJatWrF05GJiIiIBNF0sQWen0ianJyMI0eO/OPXWVpaonv37jh37hxWrFiBS5cuoVmzZvD09MSBAwfyKS2RcfpzWtu8eXO4u7uLjqNJkiRh69atSElJER2FiIiIyOxovti6ubmhZMmSrz0psbCwwIcffojTp09j9erVuHLlClq2bAkPDw/s27cvj9MSGacdO3bgwIEDnNa+g6CgIGRlZSEyMlJ0FCIiIiKzo/lia2lpicDAQKiqipycnNf+PgsLC7z//vs4deoUVFXFzZs30bp1a3To0AF79uzJw8RExuXPaW3Tpk3RqVMn0XE0q2zZsnjvvfegqqroKERERERmR/PFFni+HPnq1as4ePDgG3+vXq9HcHAwTp48ifDwcNy7dw9ubm5o27Ytdu3a9drHSxNp1a5duxAbG4uRI0dyWvuOZFnG9u3bcffuXdFRiIiIiMyKSRTb1q1bo0yZMu80KdHr9QgICMCxY8cQGRmJR48eoX379nBzc8P27dtZcMlkhYSEoFGjRujSpYvoKJoXEBAAg8GAiIgI0VGIiIiIzIpJFFsLCwsEBwcjNDT0jZYjv4xer4efnx+OHj2K6OhopKeno2PHjmjdujW2bt3KgksmJSYmBjExMZzW5pJSpUqhXbt2XI5MRERElM9MotgCz08kvXHjBmJjY3PlejqdDt7e3jh8+DA2bNiArKwsdOrUCS1atMCmTZtYcMkkhISEoEGDBvD29hYdxWTIsoxdu3bh1q1boqMQERERmQ2TKbYtWrRA+fLlc31SotPp0KVLFxw8eBCbN2+GXq9Hly5d0KxZM6xfv54FlzQrNjYWO3fu5LQ2lwUEBECn0yE8PFx0FCIiIiKzYTLFVq/XQ5IkhIWFITs7O9evr9Pp0KlTJ+zbtw/btm2DjY0NvL290bhxY0RFRbHgkuaMHj0adevWhY+Pj+goJqVYsWJwd3d/7Y8gIyIiIqJ3ZzLFFni+BPDWrVuIiYnJs3vodDq4u7tjz5492LlzJwoWLAg/Pz80aNAAERER77zHlyg/7N+/H9u3b8fIkSOh15vUrwGjIMsy9u7dixs3boiOQkRERGQWTOoVbZMmTeDk5JQvkxKdTod27dph9+7d2L17N4oWLYrAwEA0aNAAYWFhLLhk1EJCQlC7dm34+/uLjmKS/Pz8YGlpibCwMNFRiIiIiMyCSRVbnU4HSZIQHh6OrKysfLuvm5sbdu7ciT179qBkyZIIDg5G3bp1oShKniyLJnoXhw4dwpYtWzBixAhOa/OIo6MjPDw8uByZiIiIKJ+Y3KtaWZZx79497Ny5M9/v3aZNG2zbtg379u1D+fLl8f7776NOnTpYtWoVCy4ZjZCQENSsWRNBQUGio5g0WZaxf/9+XL16VXQUIiIiIpNncsW2QYMGcHV1FTopadmyJTZv3oyDBw/C2dkZH374IWrWrInly5fn6ySZ6P/6/fffsXHjRgwfPpzT2jzm6+sLGxsbhIaGio5CREREZPJM7pXtn8uRIyIi8PTpU6FZmjVrhg0bNuDw4cOoVq0aunfvjho1amDp0qUsuCTEmDFjUK1aNUiSJDqKyStUqBA8PT25HJmIiIgoH5hcsQWeLwF88OABtm/fLjoKgOeHWkVHR+Po0aOoXbs2Pv30U1SrVg2LFy/Gs2fPRMcjM3Hs2DGsW7cOw4cPh4WFheg4ZkGSJBw+fBhJSUmioxARERGZNJMstnXq1EH16tWNblLSsGFDREZG4vjx46hfvz4+++wzVK1aFQsWLBA+XSbTN2bMGFSpUgXvv/++6Chmw9vbG3Z2dlyOTERERJTHTLLY/rkcee3atcjIyBAd52/q16+P8PBwxMXFoUmTJvjyyy9RpUoV/Prrr8jMzBQdj0zQyZMnsXbtWgwfPhyWlpai45iNAgUKoGvXrkb3JhsRERGRqTHJYgs8X4786NEjbN26VXSUV6pTpw5UVcWpU6fQsmVL9OnTB66urpg9e7ZRFnLSrpCQELi4uKBbt26io5gdWZZx7NgxJCQkiI5CREREZLJMttjWrFkTtWvX1sSkpFatWli9ejXOnDkDNzc39OvXDy4uLpg1axbS09NFxyONO3XqFCIiIvDjjz9yWitAly5d4ODgoInfRURERERaZbLFFng+KYmOjtZMOaxRowZWrFiBs2fPwt3dHd9++y0qV66M6dOnIy0tTXQ80qgxY8bA2dkZH330kegoZsne3h7e3t5QVVV0FCIiIiKTZdLFVpIkpKamYuPGjaKjvJFq1arht99+w4ULF+Dp6YmBAweicuXKmDJlCp48eSI6HmnImTNnEBYWhmHDhsHKykp0HLMlyzLi4uJw/vx50VGIiIiITJJJF9uqVauifv36mp2UuLq6YvHixbh48SK8vLwwZMgQODs74+eff0ZqaqroeKQBP/30EypWrIju3buLjmLWOnfujIIFC3I5MhEREVEeMeliCzyflKxfv17Tk87KlStj4cKFiI+Ph7+/P4YPHw4nJyeMHz8ejx8/Fh2PjNS5c+egKAqGDh0Ka2tr0XHMmq2tLXx9faEoCgwGg+g4RERERCbH5IutJElIS0vD+vXrRUd5Z05OTpg3bx4SEhIgSRL+85//wMnJCT/99BMePnwoOh4ZmbFjx6J8+fLo0aOH6CiE52+ynTt3DmfOnBEdhYiIiMjkmHyxrVy5Mho3bmxSSwArVqyIOXPm4NKlS+jWrRt++uknODk5ISQkBA8ePBAdj4zAxYsXsXr1agwZMgQ2Njai4xAADw8PFC5c2KR+FxEREREZC5MvtsDzScnGjRtNbtlu+fLlMWvWLFy6dAndu3fH+PHj4eTkhFGjRuH+/fui45FAY8eORZkyZfDZZ5+JjkL/ZW1tDX9/fy5HJiIiIsoDZlFsg4ODkZmZiejoaNFR8kS5cuUwY8YMJCYmomfPnpg0aRKcnJwwfPhw3Lt3T3Q8ymcJCQlYuXIlp7VGSJZlxMfH4+TJk6KjEBEREZkUsyi2lSpVQvPmzU1+CWCZMmUwdepUJCUl4csvv8S0adPg5OSEoUOH4u7du6LjUT4ZO3YsSpYsic8//1x0FPo/OnTogGLFipn87yIiIiKi/GYWxRZ4PinZsmWLWexBLVWqFCZNmoSkpCR8/fXXmDVrFpycnDBo0CDcvn1bdDzKQ4mJiVi+fDkGDx4MW1tb0XHo/7CyskJAQACXIxMRERHlMrMptsHBwXj27BmioqJER8k3JUuWxIQJE5CcnIz+/fvj119/hZOTE77//nv88ccfouNRHhg3bhyKFy+OXr16iY5CryBJEpKSknDkyBHRUYiIiIhMhtkU23LlyqF169ZmuQSwePHiGDt2LJKTk/H9999j4cKFcHZ2xoABA3Dz5k3R8SiXJCcn47fffsOgQYNgZ2cnOg69Qtu2bVGiRAmoqio6ChEREZHJMJtiCzyflGzbts1sD1QqWrQoxowZg+TkZAwePBhLliyBs7Mz+vXrh+vXr4uOR+9o/PjxKFq0KL766ivRUegfWFpaIigoCKqqcjkyERERUS4xq2IbFBSEnJwcrF27VnQUoRwdHfGf//wHly9fxo8//ogVK1agcuXK+Prrr3H16lXR8egtXLlyBUuWLMHAgQNhb28vOg79C0mScOXKFRw8eFB0FCIiIiKTYFbFtnTp0nBzczPL5cgvU7hwYYwYMQLJyckYNWoU1qxZAxcXF/Tu3RuXL18WHY/ewIQJE1C4cGH07t1bdBR6DW3atEHp0qX5u4iIiIgol5hVsQWen468c+dO3LlzR3QUo1GoUCEMGzYMycnJGDNmDMLCwlClShX06tULSUlJouPRv7h27RoWLVqE77//HgUKFBAdh16DhYUFgoODERoaipycHNFxiIiIiDTP7IptQEAAACA8PFxwEuNTsGBBDB48GElJSRg3bhyioqJQtWpVfPbZZ7h06ZLoePQKEydORIECBfD111+LjkJvQJZl3LhxA/v27RMdhYiIiEjzzK7YlihRAu3bt+eJpP+gQIECGDhwIJKSkjBx4kRs2LAB1apVQ48ePRAfHy86Hv2PGzduYMGCBfj+++9RsGBB0XHoDbRo0QLlypXjcmQiIiKiXGB2xRZ4PimJiYnhZ7n+C3t7e3z33XdISkrClClTsHXrVlSvXh0ff/wxLly4IDoe4fm01t7eHn379hUdhd6QXq+HJEkICwtDdna26DhEREREmmaWxdbf3x96vR5hYWGio2iCnZ0d+vfvj8TERMyYMQO7du1CjRo10K1bN5w7d050PLN18+ZNzJ8/HwMGDEChQoVEx6G3IMsybt26hT179oiOQkRERKRpZllsixYtio4dO3I58huytbVF3759cenSJcyePRuxsbGoVasW3n//fZw+fVp0PLMzadIk2NjY4JtvvhEdhd5S06ZNUalSJS5HJiIiInpHZllsgeeTktjYWFy/fl10FM2xsbFB7969ER8fj7lz5+LAgQOoU6cOgoODERcXJzqeWbh16xZ+/fVXfPvttyhSpIjoOPSWdDodJElCeHg4srKyRMchIiIi0iyzLba+vr6wsrJCaGio6CiaZWNjgy+//BLx8fFYsGABjh49inr16iEgIAAnTpwQHc+kTZ48GVZWVujfv7/oKPSOZFnG3bt3sWvXLtFRiIiIiDTLbIttkSJF0KlTJy4BzAXW1tb4/PPPceHCBSxevBhxcXFo0KABfH19cfToUdHxTM7t27cxZ84c9OvXD46OjqLj0Dtq2LAhXFxc+LuIiIiI6B2YbbEFnk9KDh48iMuXL4uOYhKsrKzw6aef4vz58/jtt99w7tw5NG7cGF5eXjh8+LDoeCZj6tSp0Ov1GDBggOgolAv+XI4cERGBp0+fio5DREREpElmXWx9fHxga2vL5ci5zNLSEt27d8fZs2exYsUKJCQkoFmzZvD09MTBgwdFx9O0u3fv4pdffsE333yDokWLio5DuUSWZaSkpGD79u2ioxARERFpklkX24IFC6JLly5cAphHLC0t8eGHH+LMmTNYtWoVLl++jBYtWqBTp07Yt2+f6HiaNG3aNADAd999JzgJ5aa6deuiWrVqPKmdiIiI6C2ZdbEFAEmScOTIEVy6dEl0FJNlYWGBDz74AKdPn4aiKLhx4wZat24Nd3d3fn7nG7h//z5mzZqFvn37onjx4qLjUC7S6XSQZRlr165FZmam6DhEREREmmP2xdbLywv29vZcjpwP9Ho9JEnCyZMnERYWhjt37sDNzQ3t2rXD7t27RcczetOmTUN2dja+//570VEoD0iShIcPH2LLli2ioxARERFpjtkXWwcHB3h5eXE5cj7S6/UIDAzE8ePHERkZiYcPH6Jdu3Zwc3PDjh07YDAYREc0OikpKZg5cyb69OmDEiVKiI5DeaBWrVqoVasWlyMTERERvQWzL7bA84NbTpw4gYsXL4qOYlb0ej38/Pxw9OhRREdH48mTJ3B3d0ebNm2wdetWFtz/MWPGDDx79gwDBw4UHYXykCzLiIqKQnp6uugoRERERJrCYgvA09MTBQoU4KREEJ1OB29vb/z+++/YsGEDnj17hk6dOqFly5bYtGmT2Rfchw8fYvr06fjqq69QqlQp0XEoD0mShNTUVGzatEl0FCIiIiJNYbEFYGdnBx8fHy5HFkyn06FLly44ePDgixf2Xbp0QfPmzbFhwwazLbgzZ85EZmYmfvjhB9FRKI9Vq1YN9erV4+8iIiIiojfEYvtfsizj9OnTOHv2rOgoZk+n06Fz587Yv38/tm7dCisrK3h5eaFJkyaIjo42q4L76NEjTJs2Db169UKZMmVEx6F8IMsy1q9fjydPnoiOQkRERKQZLLb/1alTJxQqVIiTEiOi0+nQsWNH7N27Fzt27ICDgwN8fX3RsGFDREZGIicnR3TEPPfLL78gLS0NgwcPFh2F8okkSUhLS8OGDRtERyEiIiLSDBbb/7KxsYGfnx9UVTWriaAW6HQ6tG/fHjExMdi9ezccHR0REBCABg0aICwszGQL7uPHjzFlyhR8/vnnKFu2rOg4lE9cXFzQqFEjvslGRERE9AZYbP+HLMs4f/48Tp06JToKvYKbmxt27tyJPXv2oGTJkggODkbdunWhKAqys7NFx8tVc+bMQWpqKoYMGSI6CuUzWZaxceNGPH78WHQUIiIiIk1gsf0f7u7ucHR05KREA9q0aYNt27Zh3759KF++PN5//33UqVMHq1atMomCm5qaismTJ+Ozzz5D+fLlRcehfCZJEjIyMrBu3TrRUYiIiIg0gcX2f1hbW8Pf3x+KonA5ska0bNkSmzdvxoEDB+Dk5IQPP/wQtWrVwooVK5CVlSU63lubO3cuHj58yGmtmapUqRKaN2/ON9mIiIiIXhOL7f8hyzIuXbqE48ePi45Cb6B58+bYuHEjDh8+jCpVquDjjz9GzZo18dtvv2mu4KalpWHSpEn49NNPUbFiRdFxSBBJkrB582Y8ePBAdBQiIiIio8di+3+0b98exYsX56REo5o0aYJ169bh6NGjqFmzJnr06IFq1aph8eLFePbsmeh4r+XXX39FSkoKhg4dKjoKCRQcHIynT58iOjpadBQiIiIio8di+39YWloiMDCQpyNrXMOGDbF27VocP34c9evXx2effYaqVatiwYIFePr0qeh4r5Seno6ff/4Zn3zyCZycnETHIYHKly+P1q1b8002IiIiotfAYvsSkiQhOTkZv//+u+go9I7q16+P8PBwnDx5Ek2aNMGXX36JKlWq4Ndff0VmZqboeH8zf/583L17F8OGDRMdhYyALMvYunUr7t+/LzoKERERkVFjsX0JNzc3lCpVipMSE1K3bl2oqopTp06hZcuW6NOnD1xdXTFnzhxkZGSIjgcAyMjIwMSJE/Hxxx+jcuXKouOQEQgMDER2djYiIyNFRyEiIiIyaiy2L2FhYYGgoCCoqoqcnBzRcSgX1apVC6tXr8aZM2fw3nvv4ZtvvoGrqytmzZolvOAuXLgQt27dwo8//ig0BxmPMmXKwM3NDaqqio5CREREZNRYbF9BlmVcu3YNBw4cEB2F8kCNGjWwcuVKnD17Fu3bt8e3336LypUrY/r06UhPT8/3PJmZmZgwYQI+/PBDuLq65vv9yXjJsowdO3bgzp07oqMQERERGS0W21do1aoVypYty0mJiatWrRqWLVuGCxcuoFOnThg4cCCcnZ0xdepUPHnyJN9yLF68GDdv3sTw4cPz7Z6kDQEBATAYDIiIiBAdhYiIiMhosdi+gl6vR3BwMEJDQ5GdnS06DuUxV1dXLFmyBBcuXICXlxcGDx4MZ2dnTJo0CampqXl678zMTIwfPx4ffPABqlatmqf3Iu0pWbIk2rdvzz3/RERERP+AxfYfyLKMmzdvIjY2VnQUyicuLi5YuHAhLl68CH9/f/z4449wdnbGhAkT8Pjx4zy559KlS3Ht2jXuraVXkmUZMTEx+OOPP0RHISIiIjJKLLb/oFmzZqhQoQInJWbI2dkZ8+bNQ3x8PIKDgzFq1Cg4OTlh7NixePToUa7d5+nTpxg3bhxkWUaNGjVy7bpkWvz9/aHX6xEeHi46ChEREZFRYrH9B3q9HpIkITw8HFlZWaLjkACVKlXCnDlzkJCQgA8++AAhISGoVKkSQkJC8ODBg3e+/rJly3D16lXuraV/VKxYMbi7u/NNNiIiIqJXYLH9F7Is4/bt24iJiREdhQSqUKECfvnlFyQmJqJ79+4YP348nJycMGrUKKSkpLzVNZ89e4Zx48YhKCgItWrVyuXEZGpkWUZsbCyuX78uOgoRERGR0WGx/ReNGzeGs7MzJyUEAChXrhxmzJiBxMRE9OzZE5MmTYKTkxNGjBiBe/fuvdG1VqxYgaSkJIwYMSKP0pIp8fPzg5WVFcLCwkRHISIiIjI6LLb/QqfTQZIkRERE4NmzZ6LjkJEoU6YMpk6diqSkJHzxxReYOnUqnJycMGzYMNy9e/dfvz8rKwtjx45FQEAA6tSpkw+JSeuKFCmCTp068U02IiIiopdgsX0Nsizj3r172Llzp+goZGRKlSqFyZMnIykpCX369MHMmTPh5OSEwYMH486dO6/8vlWrVuHSpUuc1tIbkSQJBw4cwJUrV0RHISIiIjIqLLavoX79+qhSpQonJfRKJUuWxMSJE5GcnIx+/fphzpw5cHJywsCBA3Hr1q2/fG1WVhZ++ukn+Pr6on79+mICkyb5+PjAxsYGoaGhoqMQERERGRUW29eg0+kgyzIiIyPx9OlT0XHIiBUvXhzjxo3D5cuX8d1332HBggVwdnbGgAEDcPPmTQCAoiiIj4/HyJEjBaclrSlUqBC6dOnCN9mIiIiI/g8W29ckSRIePHiAbdu2iY5CGlC0aFGMGTMGycnJGDRoEJYsWYLKlSvjm2++wahRo+Dl5YWGDRuKjkkaJEkSfv/9dyQmJoqOQkRERGQ0dAaDwSA6hBYYDAbUqlULjRs3xrJly0THIY158OABZs2ahYkTJ+LJkycIDg7GlClTUKFCBdHRSGNSU1NRsmRJjBw5EkOGDBEdh0yMTqcTHYGIiOgvXreusti+gdGjR2PKlCm4ffs2bG1tRcchjcnJyUHNmjVhMBhw9+5dpKamomfPnhg6dCgqVqwoOh5piCRJSEhIwLFjx0RHIRPDYktERMaGxTYPnDt3DjVr1kRkZCT8/PxExyGNUVUVsizj4MGDqFmzJmbPno3Jkyfj0aNH6NGjB4YNGwYnJyfRMUkDwsPDERQUhIsXL6JKlSqi45AJ0el0SH/GlwXGzM7q+ZsPfE7G7c/nZFv/a8FJ6FUyTswGwL9Lxs7OSvfaxZZ7bN9AjRo1UKdOHaiqKjoKaUxOTg7GjBmDTp06oVmzZihYsCCGDBmC5ORkjB07FmvXrkWVKlXw+eefc+8k/StPT084ODjwECkiIiKi/2KxfUOyLCM6OhppaWmio5CGREZG4vTp0387CblAgQL44YcfkJSUhIkTJ2L9+vWoWrUqPv30U8THxwtKS8bO3t4ePj4+fJONiIiI6L9YbN+QJEl48uQJNm7cKDoKaUROTg5CQkLg7u6Oli1bvvRrHBwc8N133yExMRFTpkzBli1bUL16dXTv3h0XLlzI58SkBbIs49SpUzh37pzoKERERETCsdi+oSpVqqBBgwaclNBri46ORlxcHEaNGvWvX2tvb4/+/fvj0qVLmDFjBnbu3ImaNWviww8/ZIGhv+jUqRMKFSrE5chEREREYLF9K7IsY/369UhNTRUdhYycwWBASEgI2rVrh9atW7/299nZ2aFv375ISEjArFmzsGfPHtSqVQvvv/8+zpw5k4eJSStsbW3h6+sLRVFe+1AFIiIiIlPFYvsWJElCeno61q9fLzoKGbn169fj+PHjrzWtfRlbW1v06dMHCQkJmDt3Lg4cOIDatWsjODgYp06dyuW0pDWyLOP8+fM4ffq06ChEREREQrHYvgVnZ2c0bdqUSwDpHxkMBowePRrvvfce3Nzc3ulaNjY2+PLLLxEfH48FCxbgyJEjqFu3LgIDA3HixIncCUya07FjRxQpUoS/i4iIiMjssdi+JUmSsGnTJjx69Eh0FDJSGzduxNGjR996Wvsy1tbW+Pzzz3Hx4kUsXrwYJ0+eRIMGDeDn54ejR4/m2n1IG6ytreHv78/lyERERGT2WGzfkiRJyMzMRHR0tOgoZIT+3FvbunVrtGvXLtevb2VlhU8//RTnz5/H0qVLcebMGTRu3Bje3t74/fffc/1+ZLxkWUZCQgKOHz8uOgoRERGRMCy2b6lChQpo2bIllwDSS23ZsgWHDx/GyJEjodPp8uw+lpaW+OSTT3Du3DksX74c8fHxaNq0Kbp06YJDhw7l2X3JeLRv3x7FihXjSe1ERERk1lhs34Esy9iyZQtSUlJERyEj8ufe2hYtWsDd3T1f7mlpaYmPPvoIZ86cwapVq5CcnIzmzZujU6dO2L9/f75kIDGsrKwQGBjI5chERERk1lhs30FQUBCysrIQFRUlOgoZke3bt+PgwYN5Pq19GQsLC3zwwQc4deoUFEXB9evX0apVK7i7u2Pv3r35moXyjyRJSE5O5jJ0IiIiMlsstu+gbNmyaNOmDZcj0wt/TmubNm2KTp06CcthYWEBSZIQFxeHsLAw3LlzB++99x7at2+P3bt3C8tFecPNzQ0lS5bkcmQiIiIyWyy270iWZWzfvh337t0THYWMwK5du7Bv3z6MGjUq36e1L6PX6xEYGIjjx48jIiICKSkpaNeuHdzc3LBz504uXTURlpaWCAoKgqqqyMnJER2HiIiIKN+x2L6jwMBA5OTkIDIyUnQUMgKjR49G48aN4enpKTrKX+j1evj7++PYsWOIiorCkydP0KFDB7Rp0wbbtm1jwTUBsizj6tWrOHjwoOgoRERERPmOxfYdlSpVCm3btuVyZEJMTAz27NkjZG/t69LpdPDx8cHvv/+O9evX4+nTp/Dw8ECrVq2wefNmFlwNa9WqFcqUKcPfRURERGSWWGxzgSzL2LlzJ27fvi06Cgk0evRoNGjQAF5eXqKj/CudToeuXbvi0KFD2LRpEwwGAzw9PdG8eXNs2LCBBVeDLCwsEBwcjNDQUC5HJiIiIrPDYpsLAgICoNPpEB4eLjoKCbJ3717s2rXLqKe1L6PT6dC5c2fs378fW7duhZWVFby8vNCkSRNER0ez4GqMLMu4efMmYmNjRUchIiIiylcstrmgePHi6NChA08kNWMhISGoV68efH19RUd5KzqdDh07dsTevXuxY8cOODg4wNfXF40aNcLatWs5AdSI5s2bo3z58lyOTERERGaHxTaXyLKMmJgY3Lx5U3QUymf79+/H9u3bMWLECE1Na19Gp9Ohffv2iImJwa5du1C4cGH4+/ujQYMGCA8PZ8E1cnq9HpIkISwsDFlZWaLjEBEREeUbFttc4u/vD0tLS4SFhYmOQvksJCQEtWvXhr+/v+gouapt27bYtWsXYmJiUKJECQQFBaFevXr8SBkjJ8sybt++jT179oiOQkRERJRvWGxziaOjIzw8PLgE0MwcOnQIW7ZswYgRI6DXm+Zfp/feew/bt29HbGwsypYtC1mWUadOHaxevRrZ2dmi49H/0aRJEzg5OfF3EREREZkV03wlLogkSdi3bx+uXbsmOgrlk9GjR6NmzZoICgoSHSXPtWrVClu2bMGBAwdQqVIldOvWDbVq1cKKFSu47NWI6HQ6SJKE8PBwPHv2THQcIiIionzBYpuLfH19YW1tjdDQUNFRKB/8/vvv2LRpk0lPa1+mefPm2LhxIw4dOoQqVarg448/Rs2aNbFs2TIWXCMhyzLu3buHXbt2iY5CRERElC/M59V4PihcuDA8PT25BNBMhISEoHr16ggODhYdRYimTZti3bp1OHLkCGrWrIlPPvkE1atXx5IlSzgpFKxBgwZwdXXl7yIiIiIyGyy2uUyWZRw6dAjJycmio1AeOnbsGNavX4/hw4fDwsJCdByh/vxIoOPHj6Nu3bro2bMnqlWrhoULF+Lp06ei45klnU4HWZYRERHBZ0BERERmgcU2l3l5ecHW1pbLkU1cSEgIqlSpAlmWRUcxGvXr10dERAROnjyJRo0a4YsvvkDVqlUxb948lisBJEnCgwcPsG3bNtFRiIiIiPIci20uK1iwILp27colgCbsxIkTiIqKwvDhw2FpaSk6jtGpW7cuQkNDcerUKTRv3hy9e/eGq6sr5syZg8zMTNHxzEadOnVQvXp1qKoqOgoRERFRnmOxzQOyLOPo0aNISEgQHYXywJgxY+Di4oJu3bqJjmLUateujTVr1uD06dNo06YNvvnmG7i4uOCXX35BRkaG6Hgm78/lyGvXruX/30RERGTyWGzzQJcuXWBvb8/lyCYoLi4OERER+PHHHzmtfU01a9bEypUrcfbsWbRv3x79+/dH5cqVMWPGDKSnp4uOZ9IkScKjR4+wZcsW0VGIiIiI8hSLbR5wcHCAt7c3lyOboJ9++gnOzs746KOPREfRnGrVqmHZsmU4f/48OnXqhO+//x7Ozs6YOnUq0tLSRMczSTVr1kTt2rX5u4iIiIhMHottHpFlGSdPnsSFCxdER6FccubMGYSFhWHYsGGwsrISHUezqlSpgiVLluDChQvo2rUrBg8eDGdnZ0yaNAmpqami45kcWZYRHR3N6TgRERGZNBbbPOLp6YkCBQpwUmJCxowZg4oVK6J79+6io5gEFxcXLFq0CBcvXoSvry+GDRsGZ2dnTJgwAY8fPxYdz2RIkoQnT55g48aNoqMQERER5RkW2zxia2sLX19fnkhqIs6dOwdVVTFs2DBYW1uLjmNSnJ2dMX/+fCQkJCAoKAgjR46Ek5MTxo0bh0ePHomOp3lVq1ZF/fr1+SYbERERmTQW2zwkyzLOnDmDM2fOiI5C7+inn35C+fLl0aNHD9FRTFalSpUwd+5cXLp0CR988AFGjx4NJycnjBkzBg8ePBAdT9NkWcb69evx5MkT0VGIiIiI8gSLbR7y8PBA4cKFOSnRuAsXLmDNmjUYOnQop7X5oEKFCvjll1+QmJiIjz76CGPHjoWTkxP+85//ICUlRXQ8TZIkCenp6Vi/fr3oKERERER5gsU2D9nY2MDf3x+qqsJgMIiOQ29p7NixKFOmDHr27Ck6ilkpV64cZs6ciaSkJHz66aeYOHEinJycMGLECNy/f190PE2pXLkymjRpwjfZiIiIyGSx2OYxSZJw4cIFxMXFiY5CbyE+Ph4rV67EkCFDYGNjIzqOWSpTpgymTZuGpKQkfPHFF5gyZQoqVaqEYcOG4e7du6LjaYYkSdi4cSP3LRMREZFJYrHNY+7u7ihatCgnJRo1btw4lCpVCp9//rnoKGavdOnSmDx5MpKTk9GnTx/MnDkTTk5OGDx4MO7cuSM6ntGTJAmZmZlYt26d6ChEREREuY7FNo9ZWVkhICAAiqJwObLGXLp0CcuXL8fgwYNha2srOg79V8mSJTFx4kQkJyejX79+mDNnDpycnPDDDz/g1q1bouMZrYoVK6JFixZ8k42IiIhMEottPpAkCYmJiTh27JjoKPQGxo8fj+LFi6NXr16io9BLFC9eHOPGjUNycjIGDBiAefPmwdnZGd999x3++OMP0fGMkiRJ2Lx5M0+ZJiIiIpPDYpsP2rVrhxIlSnBSoiHJycn47bffMGjQINjZ2YmOQ/+gWLFi+Omnn3D58mX88MMPWLx4MZydndG/f3/cuHFDdDyjEhwcjKysLKxdu1Z0FCIiIqJcxWKbDywtLREYGMjTkTVk3LhxKFq0KL766ivRUeg1OTo6YvTo0UhOTsbQoUOxbNkyVK5cGX379sW1a9dExzMK5cqVQ+vWraGqqugoRERERLmKxTafyLKMy5cv49ChQ6Kj0L+4fPkyli5dih9++AH29vai49AbKlKkCEaOHInLly9jxIgRWL16NVxcXNCnTx9cuXJFdDzhZFnGtm3bcO/ePdFRiIiIiHINi20+adOmDUqXLs1JiQZMmDABhQsXRu/evUVHoXdQqFAh/Pjjj0hOTsbo0aOhqipcXV3x5ZdfIjk5WXQ8YQIDA5GTk4PIyEjRUYiIiIhyDYttPrGwsEBQUBBUVUVOTo7oOPQKV69exaJFizBw4EA4ODiIjkO5oGDBghgyZAiSk5MxduxYREZGokqVKvj888+RmJgoOl6+K126NNzc3PgmGxEREZkUFtt8JMsyrl+/jv3794uOQq8wceJEFCxYEH369BEdhXJZgQIF8MMPPyApKQkTJkzAunXrULVqVXz66adISEgQHS9fybKMnTt38vN/iYiIyGSw2Oajli1boly5cpyUGKnr169jwYIF+P7771GwYEHRcSiPODg44Pvvv0dSUhImT56MzZs3o3r16vjkk09w8eJF0fHyRUBAAAAgPDxccBIiIiKi3MFim4/0ej2Cg4MRGhqK7Oxs0XHo//j555/h4OCAvn37io5C+cDe3h7ffvstEhMTMW3aNGzfvh01atTARx99hHPnzomOl6dKlCiB9u3b8yPIiIiIyGSw2OYzWZbxxx9/YO/evaKj0P+4efMm5s+fjwEDBqBQoUKi41A+srOzwzfffINLly5h1qxZiImJQa1atfDBBx/g7NmzouPlGVmWERMTgz/++EN0FCIiIqJ3xmKbz5o1a4ZKlSpxUmJkJk2aBBsbG/Tr1090FBLE1tYWffr0QUJCAubMmYP9+/ejdu3akCQJp06dEh0v1/n7+8PCwgJhYWGioxARERG9MxbbfKbT6SBJEsLDw5GVlSU6DgG4desWfv31V3z77bcoXLiw6DgkmI2NDb766ivEx8dj3rx5+P3331G3bl0EBgbi5MmTouPlmqJFi6Jjx458k42IiIhMAoutAJIk4c6dO9i9e7foKARg8uTJsLKyQv/+/UVHISNibW2NL774AhcvXsSiRYtw4sQJ1K9fH35+fjh27JjoeLlClmXExsbi2rVroqMQERERvRMWWwEaNWqEypUrc1JiBG7fvo05c+agf//+cHR0FB2HjJCVlRV69uyJ8+fPY+nSpThz5gwaNWoEHx8fHDlyRHS8d+Ln5wdra2suRyYiIiLNY7EVQKfTQZZlRERE4NmzZ6LjmLUpU6bAwsIC3377regoZOSsrKzwySef4Ny5c1i+fDkuXryIJk2aoGvXrjh06JDoeG+lcOHC6Ny5M99kIyIiIs1jsRVEkiTcv38fO3bsEB3FbN29exezZ8/GN998g6JFi4qOQxphaWmJjz76CGfOnMHKlSuRmJiI5s2bo3Pnzjhw4IDoeG9MkiQcPHgQly9fFh2FiIiI6K2x2ApSr149VK1alZMSgaZOnQoAGDBggOAkpEUWFhbo1q0bTp8+jTVr1uDatWto2bIlOnbsiNjYWNHxXpuPjw9sbW0RGhoqOgoRERHRW2OxFeTP5ciRkZHIzMwUHcfs3L9/H7NmzULfvn1RvHhx0XFIwywsLCDLMuLi4hAaGopbt26hTZs2aN++PWJiYkTH+1cFCxZEly5d+CYbERERaRqLrUCyLOPhw4fYtm2b6ChmZ9q0acjJycH3338vOgqZCL1ej6CgIJw4cQIRERFISUlB27Zt4ebmhp07d8JgMIiO+EqyLOPIkSO4dOmS6ChEREREb4XFVqBatWqhZs2anJTks5SUFMycORN9+vRBiRIlRMchE6PX6+Hv749jx44hKioKqamp6NChA9577z1s377dKAtu165dYW9vD1VVRUchIiIieisstoLJsoyoqChkZGSIjmI2ZsyYgWfPnmHgwIGio5AJ0+l0Lz4SaP369cjMzETHjh3RqlUrbNmyxagKroODA7y8vFhsiYiISLNYbAWTZRmPHz/Gpk2bREcxCw8ePMD06dPx1VdfoVSpUqLjkBnQ6XQvPhJo48aNyMnJQefOndGiRQts3LjRaAquLMs4ceIELl68KDoKERER0RtjsRWsWrVqqFevHicl+WTWrFnIzMzEoEGDREchM6PT6eDp6YkDBw5gy5YtsLCwQNeuXdG0aVOsW7dOeMH19PREgQIFuDWCiIiINInF1ghIkoR169YhLS1NdBST9ujRI0ybNg1ffvklSpcuLToOmSmdTgcPDw/ExsZi+/btsLOzg4+PDxo1aoS1a9cKK7h/5mCxJSIiIi1isTUCsizjyZMn2LBhg+goJm3WrFlIS0vjtJaMgk6nQ4cOHbBnzx7s2rULhQsXhr+/Pxo0aIDw8HDk5OTkeyZZlnHmzBmcOXMm3+9NRERE9C5YbI2Ai4sLGjVqxElJHnr8+DGmTp2KL774AmXLlhUdh+gv2rZti127diEmJgbFixdHUFAQ6tevj9DQ0HwtuJ06dUKhQoW4NYKIiIg0h8XWSEiShA0bNiA1NVV0FJM0e/ZspKamYvDgwaKjEL3Snx8JFBsbizJlykCSJNSpUwdr1qxBdnZ2nt/fxsYGfn5+UBRF+J5fIiIiojfBYmskJElCRkYG1q1bJzqKyUlNTcWUKVPw2WefoXz58qLjEP2rPz8SaP/+/ahYsSI++OAD1K5dGytXrszzgivLMi5cuIBTp07l6X2IiIiIchOLrZFwcnJCs2bNuBw5D8ydOxcPHz7EkCFDREcheiMtWrTApk2bcOjQIbi4uOCjjz5CzZo1sWzZMmRlZeXJPd3d3eHo6MjfRURERKQpLLZGRJZlbNq0CY8ePRIdxWQ8efIEkyZNwqeffoqKFSuKjkP0Vpo2bYr169fjyJEjqF69Oj755BNUr14dS5YswbNnz3L1XtbW1ggICOByZCIiItIUFlsjEhQUhKdPnyIqKkp0FJMxb948pKSkYOjQoaKjEL2zRo0aISoqCseOHUPdunXRs2dPVKtWDYsWLcrVgitJEi5duoRjx47l2jWJiIiI8hKLrRGpUKECWrVqxSWAuSQtLQ0///wzPvnkEzg5OYmOQ5RrGjRogIiICJw4cQKNGjXC559/jipVqmD+/Pl4+vTpO1+/ffv2KF68OE9HJiIiIs1gsTUysixj69atSElJER1F8xYsWIC7d+9i2LBhoqMQ5Yl69eohNDQUp06dQvPmzfHVV1/B1dUVc+fORWZm5ltf19LSEoGBgVBVlcuRiYiISBNYbI1MUFAQsrKysHbtWtFRNC0jIwMTJ07Exx9/jMqVK4uOQ5SnateujTVr1uD06dNo3bo1vv76a7i4uOCXX35BRkbGW11TkiQkJyfj8OHDuZyWiIiIKPex2BqZMmXK4L333uNy5He0YMEC3L59Gz/++KPoKET5pmbNmli1ahXOnj2Ldu3aoX///nBxccHMmTORnp7+Rtdyc3NDqVKl+LuIiIiINIHF1gjJsozt27fj7t27oqNoUkZGBiZMmIAPP/wQrq6uouMQ5bvq1atj+fLlOH/+PDp27IjvvvsOlStXxrRp05CWlvZa17CwsEBQUBBCQ0ORk5OTx4mJiIiI3g2LrREKDAyEwWBARESE6CiatHjxYvzxxx+c1pLZq1KlCpYuXYoLFy6gS5cu+OGHH+Ds7IzJkyfjyZMn//r9sizj2rVrOHDgQD6kJSIiInp7LLZGqGTJkmjfvj1PJH0LmZmZGD9+PD744ANUrVpVdBwio+Di4oJFixYhPj4evr6+GDp0KJycnDBx4kSkpqa+8vtatWqFsmXLcjkyERERGT0WWyMlSRJ27dqFW7duiY6iKUuXLsX169c5rSV6CWdnZ8yfPx8JCQkICgrCiBEj4OTkhHHjxuHRo0d/+3q9Xo/g4GCEhYUhOztbQGIiIiKi18Nia6QCAgKg1+sRHh4uOopmPH36FOPGjYMsy6hRo4boOERGq1KlSpg7dy4uXboEWZYxevRoODk5YcyYMXj48OFfvlaWZdy8eROxsbGC0hIRERH9O52BH1JotDw9PZGeno7du3eLjqIJCxcuRK9evXDq1CnUqlVLdBwizbh27Rp+/vlnzJ8/H3Z2dvj222/Rv39/FClSBNnZOajcLhjFmvnCrng5lHe0R7emFeFdtyz0ep3o6JTLdDod0p/xZYExs7N6/veOz8m4/fmcbOt/LTgJvUrGidkA+HfJ2NlZ6fC6dZXF1ogtWbIEn332Ga5du4ayZcuKjmPUnj17hqpVq6JJkybcm0z0lm7cuIFJkybh119/hbW1Nfr164/brl2w5fw9GHKyodNbQK8DcgyAT72ymC7VZ7k1MSy2xo/FVhtYbI0fi602vEmx5VJkI+bn5wdLS0uEhYWJjmL0VqxYgeTkZIwYMUJ0FCLNKlu2LKZNm4akpCR8/vnn+GXdAWw5fw8AoNNbAHheagEg+uQNrIu7ISoqERER0V9wYmvkvL29cf/+fezbt090FKOVlZWF6tWro169etyTTJSLAn7Zg2PXHgG6v09l9TqgiVNRKL1aCEhGeYUTW+PHia02cGJr/Dix1QZObE2ILMvYv38/rl69KjqK0Vq5ciUuXbqEkSNHio5CZBIMBgPi4uJw/vqdl5Za4Pnk9lpKej4nIyIiIno5Flsj5+PjAxsbG4SGhoqOYpSysrIwduxY+Pn5oV69eqLjEGnamTNnMHLkSNSoUQP16tXDoxtJgCHnpV+r1wHlHe3yOSERERHRy7HYGrlChQrB09MTiqKIjmKU1qxZg/j4eO6tJXpL58+fR0hICGrVqoXatWtj5syZaN68OTZu3IiZ/YIB3cv/M5FjALo1rZjPaYmIiIhezlJ0APp3sizjgw8+QFJSEpydnUXHMRrZ2dn46aef4O3tjYYNG4qOQ6QZ8fHxUFUVqqoiLi4OBQsWhK+vLyZMmAAPDw/Y2NgAAHJyDNgdfx/RJ2+8OA35f09F9q7L09qJiIjIOLDYaoCXlxfs7OwQGhqKQYMGiY5jNFRVxYULF7BixQrRUYiMXmJi4osye/z4cTg4OMDb2xujR49G586dYWtr+7fv0et1mC7VR4fqJbHq8BVcS0lHeUc7fo4tERERGR2eiqwRwcHBSExMxNGjR0VHMQrZ2dmoU6cOnJ2dsWHDBtFxiIzS5cuXERoaCkVRcOTIEdjZ2cHLywuyLMPT0xP29vaiI5KR4anIxo+nImsDT0U2fjwVWRve5FRkTmw1QpZlBAcHIyEhAa6urqLjCBceHo5z585hyZIloqMQGZVr164hNDQUqqri4MGDsLW1RZcuXTBw4EB4eXnBwcFBdEQiIiKiXMdiqxFdunSBg4MDVFXFsGHDRMcRKicnByEhIejUqROaNWsmOg6RcDdu3EBYWBhUVcW+fftgbW2Nzp07Y+XKlfD29kbBggVFRyQiIiLKUyy2GmFvbw8fHx8oimL2xTYyMhJnzpzBggULREchEubWrVsIDw+HoijYu3cvLC0t4eHhgWXLlsHHxweFCxcWHZGIiIgo37DYaogkSfD398f58+dRvXp10XGE+HNa6+7ujhYtWoiOQ5Sv7ty5g4iICCiKgpiYGOj1eri7u2PRokXw8/ODo6Oj6IhEREREQrDYakjnzp1RqFAhKIqCUaNGiY4jRFRUFOLi4rB3717RUYjyxb179xAZGQlVVbFz504AQPv27TFv3jz4+/ujWLFighMSERERicdTkTWme/fuOHr0KM6cOSM6Sr4zGAxo2LAhihYtih07doiOQ5RnUlJSEBUVBUVRsH37duTk5MDNzQ2yLCMgIAAlSpQQHZFMFE9FNn48FVkbeCqy8eOpyNrAU5FNmCRJWL58OU6fPo3atWuLjpOv1q1bhxMnTmD37t2ioxDlukePHiEqKgqqqmLLli3IyspCmzZtMH36dAQGBqJ06dKiIxIREREZLRZbjfHw8ECRIkWgKIpZFVuDwYCQkBC4ubnBzc1NdByiXPH48WOsW7cOqqpi8+bNyMzMRMuWLTF58mQEBgaiXLlyoiMSERERaQKLrcZYW1vD398fiqIgJCQEOp1OdKR8sXHjRhw9epRLkEnznjx5gg0bNkBRFGzcuBEZGRlo1qwZxo8fj6CgIFSoUEF0RCIiIiLN4R5bDdqyZQs6d+6M48ePo379+qLj5DmDwYBmzZrBxsYGe/bsMZsyT6YjLS0NmzZtgqIoWL9+PdLT09G4cWNIkoTg4GA4OTmJjkgEgHtstYB7bLWBe2yNH/fYagP32Jq49u3bo1ixYlAUxSyK7ZYtW/D7779j27ZtLLWkGRkZGdi8eTNUVUV0dDSePHmCBg0aYOTIkQgODoaLi4voiEREREQmgxNbjerVqxe2b9+OS5cumXTZMxgMaNmyJXQ6Hfbt22fSPytpX2ZmJrZt2wZFURAVFYXHjx+jTp06kGUZwcHBqFq1quiIRP+IE1vjx4mtNnBia/w4sdWGN5nYsthq1I4dO+Du7o7ff/8djRs3Fh0nz2zbtg0eHh7YvHkzOnXqJDoO0d88ffoUO3bsgKqqiIyMxMOHD1GjRg3IsgxJklCjRg3REYleG988JCIiY8Nia+KysrJQrlw5dO/eHZMmTRIdJ08YDAa0adMGz549w8GDB/mCi4xGVlYWdu7cCVVVERERgZSUFFStWvVFmTWnE8vJtPD3LBERGRsWWzPQp08fbNiwAcnJySb5YuTPqfSGDRvQpUsX0XHIzGVlZWHPnj1QFAURERG4e/cuXFxcXpTZunXrmuTfQzIvXIps/LgUWRv4nIwfl4trQ8aJ2Sy25iAmJgZt27bF/v370aJFC9Fxcp2bmxvS0tJw+PBhFgYSIjs7G7GxsVAUBeHh4bh9+zacnJwgSRJkWUaDBg347yaZFBZb48fCpA18TsaPxVYb3qTY8lRkDWvdujXKlCkDVVVNrtju3r0be/bsQXR0NIsD5aucnBzs378fqqoiLCwMN2/eRIUKFfDxxx9DlmU0btyY/04SERERGRlObDWuX79+iIiIwJUrV6DX60XHyTXt27fHgwcPcPToUZYIynMGgwGHDh2CoigIDQ3F9evXUa5cOQQHB0OSJDRr1syk/n4RvQontsaPk0Bt4HMyfpzYagMntmZElmXMmjUL+/btQ5s2bUTHyRV79+7Frl27EBkZyVJLecZgMODIkSMvyuyVK1dQunRpBAUFQZZltGzZkmWWiIiISCNYbDWuRYsWKF++PBRFMZliO3r0aNSrVw++vr6io5CJMRgMOH78OFRVhaqqSEpKQokSJRAUFARJktCmTRtYWFiIjklEREREb4jFVuP0ej0kScLKlSsxY8YMzb8o37dvH3bs2IHw8HBOaylXGAwGxMXFvSizCQkJKFasGAIDAyFJEtzc3GBpyV+FRERERFrGPbYm4NChQ2jevDl27tyJdu3aiY7zTjp16oQbN27g5MmTXAZK7+TMmTNQFAWqquLChQtwdHREQEAAJElCu3btYGVlJToikdHhHlvjx72b2sDnZPy4x1YbuMfWzDRt2hROTk5QFEXTxfbgwYPYunUrVFVlqaW3cv78eaiqCkVRcPbsWRQuXBh+fn6YNm0aOnToAGtra9ERiYiIiCgPcGJrIgYPHozFixfj5s2bml1W2aVLF1y+fBmnTp1isaXXFh8f/2KZcVxcHAoWLAhfX19IkgQPDw/Y2NiIjkikGZzYGj9OArWBz8n4cWKrDZzYmiFZlvHzzz9j165d6Nixo+g4b+zw4cPYtGkTVq9ezVJL/yoxMfFFmT1+/DgcHBzg7e2N0aNHo3PnzrC1tRUdkYiIiIjyESe2JsJgMKBKlSpo27YtFi5cKDrOG/P29kZCQgJOnz6t+QOwKG9cvnwZoaGhUBQFR44cgZ2dHby8vCDLMjw9PWFvby86IpHmcWJr/DgJ1AY+J+PHia02cGJrhnQ6HWRZxty5czFnzhxN7SU8evQo1q9fjxUrVrDU0l9cvXoVYWFhUFUVBw8ehK2tLbp06YKBAwfCy8sLDg4OoiMSERERkRHgxNaExMXFoV69eti4cSM8PT1Fx3ltfn5+OHfuHM6ePctiS7hx48aLMrtv3z5YW1vD09MTkiTB29sbBQsWFB2RyGRxYmv8OAnUBj4n48eJrTZwYmum6tSpg+rVq0NRFM0U2xMnTiAqKgq//fYbS60Zu3XrFsLDw6EoCvbu3QtLS0t4eHhg2bJl8PHxQeHChUVHJCIiIiIjxmJrQnQ6HSRJwowZM5CZmamJ02BDQkLg6uqKbt26iY5C+ezOnTuIiIiAoiiIiYmBXq+Hu7s7Fi1aBD8/Pzg6OoqOSEREREQaweNnTYwsy3j48CG2bNkiOsq/iouLQ2RkJH788UfNfkQRvZl79+5h4cKF8PDwQJkyZfD111/D0tIS8+bNwx9//IFNmzbh008/ZaklIiIiojfCPbYmqE6dOqhXrx5WrFghOso/Cg4OxtGjR3HhwgVYWVmJjkN5JCUlBVFRUVAUBdu3b0dOTg7c3NwgyzICAgJQokQJ0RGJ6L+4x9b4ce+mNvA5GT/usdUG7rE1c5Ik4eeff0Z6ejrs7OxEx3mp06dPIywsDAsXLmSpNUEPHz5EdHQ0VFXFli1bkJWVhTZt2mD69OkIDAxE6dKlRUckIiIiIhPCpcgmSJZlpKamYtOmTaKjvNJPP/2ESpUq4eOPPxYdhXLJ48ePsWrVKvj5+aFkyZLo3r07UlJSMHnyZFy9ehUxMTH4+uuvWWqJiIiIKNdxYmuCqlativr160NVVQQEBIiO8zdnz56Fqqr49ddfNfV5u/R3T548wfr166GqKjZu3IiMjAw0a9YMEyZMQFBQECpUqCA6IhERERGZARZbEyXLMsaMGYMnT57AwcFBdJy/GDt2LMqXL48ePXqIjkJvIS0tDZs2bYKiKFi/fj3S09PRuHFjhISEIDg4GE5OTqIjEhEREZGZ4VJkEyVJEtLS0rBhwwbRUf7iwoULWLNmDYYOHcpprYZkZGRg7dq16NatG0qWLImgoCAkJCRg5MiRSEhIwO+//44ffviBpZaIiIiIhOCpyCasSZMmqFixIsLDw0VHeaF79+7YuXMnLl26pInP2TVnmZmZ2LZtGxRFQVRUFB4/fow6depAlmUEBwejatWqoiMSUS7jqcjGj6ftagOfk/HjqcjawFORCcDz5cgjRozA48ePUbBgQdFxEB8fj5UrV2LGjBkstUbq6dOn2LFjB1RVRWRkJB4+fIgaNWrg+++/hyRJqFGjhuiIRERERER/w4mtCbt8+TKcnJywcuVKdOvWTXQc9OjRA9u2bcOlS5dga2srOg79V1ZWFnbu3AlVVREREYGUlBRUrVoVsixDkiTUrl1bdEQiyiec2Bo/TgK1gc/J+HFiqw2c2BIAoFKlSmjevDkURRFebC9duoQVK1Zg6tSpLLVGICsrCzExMVBVFeHh4bh37x5cXFzQu3dvSJKEunXrQqfTiY5JRERERPRaWGxNnCzLGDx4MB48eIAiRYoIyzFu3DiUKFECX3zxhbAM5i47OxuxsbFQFAXh4eG4ffs2nJyc8Nlnn0GWZTRo0IBlloiIiIg0iacim7jg4GA8ffoU0dHRwjIkJSVh2bJlGDRoEOzs7ITlMEc5OTmIjY1Fv379UKFCBbRt2xbr16/Hxx9/jMOHDyMxMRETJ05Ew4YNWWqJiIiISLM4sTVx5cqVQ+vWraEoCrp37y4kw/jx41G0aFF8+eWXQu5vbgwGAw4dOgRFURAaGorr16+jXLlyL/bMNmvWDHo939MiIiIiItPBYmsGZFnGgAEDcP/+fRQtWjRf73358mUsWbIE48ePh729fb7e25wYDAYcOXLkRZm9cuUKSpcujaCgIMiyjJYtW7LMEhEREZHJ4itdMxAUFIScnBysXbs23+89YcIEFClSBL179873e5s6g8GAY8eOYciQIXBxcUHTpk2xbNkydO3aFbt378a1a9cwa9YstG7dmqWWiIiIiEwaJ7ZmoHTp0nBzc4OiKOjZs2e+3ffq1atYtGgRxowZAwcHh3y7rykzGAyIi4uDqqpQVRUJCQkoVqwYAgMDIUkS3NzcYGnJv9ZEREREZF74CthMSJKEvn374s6dOyhRokS+3HPixIkoVKgQvv6anw/2rs6cOQNFUaCqKi5cuABHR0cEBARg9uzZaNeuHaysrERHJCIiIiIShusTzURgYCAAICIiIl/ud/36dSxYsADfffcdChQokC/3NDXnz59HSEgIatWqhdq1a2PmzJlo3rw5Nm7ciD/++AMLFy6Eh4cHSy0RERERmT2dwWAwiA5B+cPDwwPZ2dnYsWNHnt+rX79+WLFiBZKTk1GoUKE8v5+piI+Pf7HMOC4uDgULFoSvry8kSYKHhwdsbGxERyQiE6bT6ZD+jC8LjJmd1fOPZuNzMm58Tsbvz2dkW58rC41ZxonZeN26yqXIZkSWZfTq1Qu3bt1CqVKl8uw+N2/exPz58zF8+HCW2teQmJj4osweP34cDg4O8Pb2xujRo9G5c2fY2tqKjkhEREREZNS4FNmM+Pv7Q6/XIywsLE/v8/PPP8POzg7ffPNNnt5Hyy5fvozJkyejSZMmcHFxQUhICFxdXREWFobbt29j9erV8PPzY6klIiIiInoNnNiakaJFi6Jjx45QFCXPDnT6448/8Ouvv2LIkCEoXLhwntxDq65evYqwsDAoioJDhw7B1tYWXbp0wcCBA+Hl5cWTo4mIiIiI3hKLrZmRZRmffvoprl+/jnLlyuX69SdPngxra2v069cv16+tRTdu3EBYWBhUVcW+fftgbW0NT09PrFy5Et7e3ihYsKDoiEREREREmsdia2Z8fX1hZWWFsLAw9O/fP1evffv2bcyZMwcDBw6Eo6Njrl5bS27duoXw8HAoioK9e/fC0tISHh4eWLZsGXx8fDjJJiIiIiLKZSy2ZqZIkSLo1KkTFEXJ9WI7ZcoUWFpa4ttvv83V62rBnTt3EBERAUVREBMTA71eD3d3dyxatAh+fn5mXfSJiIiIiPIai60ZkmUZH330Ea5cuYKKFSvmyjXv3r2L2bNno3///ihatGiuXNPY3bt3D5GRkVBVFTt37gQAtG/fHvPmzYO/vz+KFSsmOCERERERkXngqchmyMfHBzY2NggNDc21a06dOhUA8N133+XaNY1RSkoKli5dCk9PT5QuXRpffvklsrKyMHv2bNy8eRNbt27F559/zlJLRERERJSPWGzNUMGCBdGlSxcoipIr17t37x5mzZqFvn37mmShe/jwIZYvXw4vLy+UKlUKPXv2RFpaGmbMmIHr169j586d+PLLL1GiRAnRUYmIiIiIzBKXIpspWZbx/vvvIzExEZUrV36na02bNg05OTn4/vvvcymdeI8fP8a6deugqio2bdqEp0+folWrVpg8eTKCgoJQtmxZ0RGJiIiIiOi/WGzNlJeXF+zt7REaGorBgwe/9XVSUlIwc+ZM9OnTR/MTyydPnmD9+vVQVRUbN25ERkYGmjVrhgkTJiAoKAgVKlQQHZGIiIiIiF6CxdZMOTg4wMvLC4qivFOxnT59OrKysjBw4MBcTJd/0tLSsGnTJiiKgvXr1yM9PR2NGzdGSEgIgoOD4eTkJDoiERERERH9CxZbMyZJEoKCghAfH48qVaq88fc/ePAAM2bMQO/evVGqVKk8SJg3MjIysHnzZqiqiujoaDx58gQNGjTAyJEjERwcDBcXF9ERiYiIiIjoDbDYmrEuXbqgQIECUBQFw4cPf+PvnzlzJjIzM/HDDz/kQbrclZmZia1bt0JVVURFReHx48eoU6cOhg4diuDgYFStWlV0RCIiIiIieks6g8FgEB2CxPnwww9x6tQpxMXFvdH3PXz4EE5OTvjkk08wffr0vAn3jp4+fYodO3ZAURSsXbsWDx8+RM2aNSHLMoKDg1GjRg3REYmIjIpOp0P6M74sMGZ2VjoA4HMycnxOxu/PZ2Rb/2vBSeifZJyYjdetq5zYmjlZlrFq1SqcO3fujYreL7/8gvT0dAwaNCgP0725Z8+eYdeuXVBVFREREUhJSUHVqlXRr18/yLKMWrVqiY5IRERERES5jMXWzHXq1AmFChWCoij4z3/+81rf8/jxY0ydOhVffPGFUXzsTVZWFmJiYqCqKsLDw3Hv3j24uLigd+/ekCQJdevWhU6nEx2TiIiIiIjyCIutmbOxsYGfnx9UVcWoUaNeqwDOnj0bqamp73Sa8rvKzs5GbGwsFEVBeHg4bt++DScnJ3z22WeQZRkNGjRgmSUiIiIiMhMstgRZlrFs2TKcPn0aderU+cevTU1NxeTJk/HZZ5+hfPny+ZTwuZycHOzfvx+qqiIsLAw3b95EhQoV8PHHH0OWZTRu3JhlloiIiIjIDLHYEtzd3eHo6AhFUf612M6ZMwePHj3CkCFD8iWbwWDAoUOHoCgKQkNDcf36dZQrVw6yLEOSJDRr1gx6vT5fshARERERkXFisSVYW1vD398fiqJgzJgxr5x6PnnyBJMnT8ann36KihUr5lkeg8GAI0eOvCizV65cQenSpREcHAxJktCyZUuWWSIiIiIieoHFlgA8X468ePFinDhxAg0aNHjp1/z6669ISUnB0KFDc/3+BoMBx48fh6qqUFUVSUlJKFGiBIKCgiDLMlq3bg0LC4tcvy8REREREWkfiy0BANq3b49ixYpBUZSXFtu0tDRMmjQJPXr0gJOTU67c02AwIC4u7kWZTUhIQLFixRAYGAhJkuDm5gZLS/4rSkRERERE/4ytgQAAlpaWCAwMhKIoGD9+/N+WI8+fPx93797NlWntmTNnoCgKVFXFhQsX4OjoiICAAMyePRvt2rWDlZXVO9+DiIiIiIjMB4stvSDLMubPn4/ff/8dTZs2ffG/p6enY+LEiejevTsqV678Vtc+f/48VFWFoig4e/YsChcuDD8/P0ybNg0dOnSAtbV1bv0YRERERERkZlhs6QU3NzeUKlUKqqr+pdguXLgQd+7cwbBhw97oevHx8S+WGcfFxaFgwYLw9fXFhAkT4OHhARsbm9z+EYiIiIiIyAzpDAaDQXQIMh59+/ZFdHQ0kpOTodfrkZGRARcXF7i7u+O333771+9PTEx8UWaPHz8OBwcH+Pj4QJIkdO7cGba2tvnwUxAR0dvQ6XRIf8aXBcbMzur5ViE+J+PG52T8/nxGtvW/FpyE/knGidl43brKz0yhv5AkCVevXsXBgwcBAIsXL8Yff/yBH3/88ZXfc/nyZUyaNAlNmjSBi4sLQkJC4OrqirCwMNy+fRurVq2Cn58fSy0REREREeUJLkWmv2jZshXKtfTFN2svwWZPOq5fzIT7Z0Pg6lrlL1939epVhIWFQVEUHDp0CLa2tujSpQsGDhwILy8vODg4CPoJiIiIiIjI3LDY0gs5OQZ8F3oSlu99gbs52dA9zABKuOCCviq+VU9gUJuSiAgPh6qq2LdvH6ytreHp6YmVK1fC29sbBQsWFP0jEBERERGRGWKxpRfWxd1AdNxNAIBOb/GXf0afvIHFYwbgafx+eHh4YNmyZfDx8UHhwoWF5SUiIiIiIgJYbOl/rDp8BXodkPOy/dmGHDSS+2PtN5FwdHTM92xERERERESvwsOj6IVrKWkvL7UAoNMjy6YwSy0RERERERkdFlt6obyjPfS6l/+ZXgeUd7TL30BERERERESvgcWWXujWtOIrJ7Y5hud/TkREREREZGxYbOkF77pl4VOvLAC8mNz++U+femXhXbesoGRERERERESvxsOj6AW9XofpUn10qF4Sqw5fwbWUdJR3tEO3phXhXbcs9K9ap0xERERERCQQiy39hV6vg2/9cvCtX050FCIiIiIiotfCpchERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpLLZERERERESkaSy2REREREREpGkstkRERERERKRpOoPBYBAdgoiIiMTT6XSiIxAREf3F69ZVyzzOQURERBrB97qJiEiruBSZiIiIiIiINI3FloiIiIiIiDSNxZaIiIiIiIg0jcWWiIiIiIiINI3FloiIiIiIiDSNxZaIiIiIiIg0jcWWiIiIiIiINI3FloiIiIiIiDSNxZaIiIiIiIg07f8Bb43hhI0JUlAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tetrahedral_graph = nx.tetrahedral_graph() \n",
    "pos = nx.spring_layout(tetrahedral_graph)\n",
    "visualize(tetrahedral_graph, pos, '正四面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5120b6cd-d7a0-4bb7-bf69-91e4f63e9bfe",
   "metadata": {},
   "source": [
    "## 正六面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a9f78aa4-2978-48f1-b8a5-a4667aae08c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cubical_graph = nx.cubical_graph() \n",
    "pos = nx.spring_layout(cubical_graph)\n",
    "visualize(cubical_graph, pos, '正六面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e2a057e-cee8-46e6-a4c7-390bf56fd7db",
   "metadata": {},
   "source": [
    "## 正八面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e0c8d41a-c0a1-4dc2-9ddf-e7222ab334ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "octahedral_graph = nx.octahedral_graph() \n",
    "pos = nx.spring_layout(octahedral_graph)\n",
    "visualize(octahedral_graph, pos, '正八面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18f3ce5c-f73a-46f1-932c-4edd46ed939d",
   "metadata": {},
   "source": [
    "## 正十二面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b85e134b-257c-4517-a4bd-139fddb14973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dodecahedral_graph = nx.dodecahedral_graph() \n",
    "pos = nx.spring_layout(dodecahedral_graph)\n",
    "visualize(dodecahedral_graph, pos, '正十二面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7a74a94-3b49-47e4-b385-9adc09c36bc4",
   "metadata": {},
   "source": [
    "## 正二十面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3d8f05ec-fbf5-451d-9a59-4c64b66b149d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "icosahedral_graph = nx.icosahedral_graph() \n",
    "pos = nx.spring_layout(icosahedral_graph)\n",
    "visualize(icosahedral_graph, pos, '正二十面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3084c02c-5087-40af-95ff-3c3cd4cd0969",
   "metadata": {},
   "source": [
    "## 平衡树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0c6f535a-b219-4b78-84f9-b7bdb8ac6fde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fPlyTJ0/Od9z69et1yy236IcfflDDhg1LNKe3sNsdunvIZKWcriRH+VBVNM6oRehZvTdugB588AHNmjWLOx8DHoSbtgEAPI2zcZWtyPBpCSmpik9Jk5QdZs9/jE9OVUKK83c1zs91112n8ePH64UXXtCGDRvyHRcaGipJfnOdbc6XCrbyTXUutI4c5UN0IqiaEtNrqc2oeZo9m+N8AAAA4BpsRYZPW5i0P3eF9t8sRvbzXaw1SzzPiBEjtHLlSvXp00c2my3PrbXnb0X2B+d/qWBYyuh//0OS9Kv9Uq3YmeaS9x6Aay21Ff6FXw9rmCTph9STBY5rFFaxyDVdObY4NYOsAwocl2Gb6RF9evr83lKzOPOnZxa+ehQcYDg11tlx54/15/feH2uaPb+n1HQGK7bwaQeOns4z1ErZYffng38rKyurxPOUKVNGCxYs0OHDhzV48OA8x/hbsM35UiEvOV8qAAAAAK5AsIVPCw8pn2+4kt2utN3fqXbt2nruuef022+/lWiuq666SjExMZo7d64++eSTi54PDg5WuXLldOTIkRLN4y0K+1LhwNH00m0IAAAAPotgC5/Wu0WtfMOVLBaN6nWzunTpohkzZujKK6/UnXfeqbi4OGVmZhZrvr59+6pr167q37+//vjjj4ueDwkJ8ZsV24K+VLAYUnhIcOk2BAAAAJ9FsIVPi44IU+fI7L35OSEr57FzZJiejL5Rb775ptLS0jR79mz9/fff6tatm2rXrq0xY8Zo3759RZrPMAzNmjVLZcuW1UMPPXTRXdxCQ0P9JtgW9KWC3ZH9PAAAAOAKBFv4NIvF0IyeVsX0sqp5nVDVrBKs5nVCFdPLesFRPxUqVNBDDz2kLVu2aMeOHerWrZtef/11XXXVVerYsaOWLVvm9CruZZddpvfee0+rVq3S22+/fcFz/rRiGx0RplaXZ9+fLmfh9vwvFaIjnL8ZAAAAAFAQgi18nsViqIu1pmL736ANI9oqtv8N6mKtme/5tVarVTNnzlRqaqrmzJmj48eP6+6771atWrU0evRo7d27t9A577zzTj322GMaOnSofvrpp9xf96dga7EYCtm1XPZv5qhFAV8qAAAAACVFsAXyUaFCBfXt21ebNm1ScnKy7rnnHs2cOVNXXXWVOnTooI8//rjAVdxXXnlF4eHhuu+++3LHhYSE+M3NozIzM/XR0qW694Z6in3UuS8VAAAAgOIg2AJOiIiI0Ouvv67U1FTNmzdPJ06c0D333KMrrrhCI0eO1J49ey56TYUKFfTBBx9ox44dmjhxoiT/WrFNTEzUX3/9pf/85z9mtwIAAAAfZzj+fXcbAE7ZuXOn3n33Xc2fP1/Hjx/Xbbfdpv79+6tz584KDAzMHTdhwgSNHz9eGzZs0GeffaZ33nlHqamFH0jt7R544AFt2bJFP/74owyDFVrAG/BnFQDgaZyNqwRboIROnz6tjz76SLNmzdKGDRtUrVo19e3bV/369VO9evWUlZWlm266SYf/+lttH3xGK386riuvvV7hIeXVu0UtRUeE+dzW3PT0dFWvXl1Dhw7VuHHjzG4HgJMItgAAT0OwBUzw/fff691339X777+vY8eOqV27durfv78aNmqk2577UEHX3CSH/ZwMSxlZjOxjbzpHhvnczZQ+/vhj3XPPPdq1a5euueYas9sB4CTDMLTUVviOkh7W7LuaFzY2Z9wPqScLrdkorKJTNYszvztqBlkHFFozwzbTtD6LMtafa5o9f3FqpmcW/NE9OMBwalxRxuaM8/f3nt+j5tR0Nq5yjS3gQo0bN9aMGTOUmpqqBQsW6MyZM+rVq5du7zdSQdfcJEkyLGUkKfeM1/jkVCWk+NbW5EWLFqlp06aEWgAAAJQKgi3gBsHBwbrvvvu0fv16ff/996p5Sy857OfyHGsxpIVJ+0u5Q/f5559/tGLFCm4aBQAAgFJDsAXcrFGjRip36eW5K7X/ZndIB46ml3JX7rN8+fLclWoAAACgNBBsgVIQHlJe+V1CazGk8JDg0m3IjRYtWqSbbrpJtWrVMrsVAAAA+AmCLVAKereolXtN7b/ZHdnP+4K//vpLX3zxBduQAQAAUKrKmt0A4A+iI8KUuOuQ4pNTc++GLLtdslgU3aSGoiPCzG7RJT766CM5HA7dc889ZrdiOrvdoYSUVC1M2q8DR0/79PFOAAAAZiPYAqXAYjE0o6dV7RpU+1/QSVelMpn6Zt4LurRclCyW681u0SUWLVqkdu3aqVq1ama3Yiq73aHBsTsUn5KW+0VG2vEMbdl7RIm7Dvnc8U4AAABm4xxbwETjxo3T5MmTtWHDBrVs2dLsdkrkwIEDqlWrlt577z09+OCDZrdjquW2gxoUa8v3+ZheVnWx1iy9hgAnGQZfuAAAPAvn2AJeYMyYMbr++uvVp08fnTp1yux2SiQ2NlaBgYHq1q2b2a2YbmHS/gJvFuZLxzsBAAB4ArYiAyYKCAjQBx98IKvVqqFDh+rtt982u6ViW7x4se68805VrlzZ7FZMd+Do6QJvFuZLxzvB9yy1pRY6poc1zKmxOeN+SD1ZaM1GYRXdNr/ZNYOsAwocl2Gb6fI+izLWn2uaPb+31UzPLHzlLDjAcPnYnHHe8j7xe9T1NZ3Bii1gsvr162vatGl65513lJCQYHY7xbJ7925t27aNuyH/T3hIeeW3odPXjncCAADwBARbwAP0799fnTp1Ur9+/XTo0CGz2ymyxYsXq2LFiurUqZPZrXiEdrXLKb/vnn3peCcAAABPQbAFPIBhGJo9e7YcDof69evn9EXynsDhcGjRokXq2rWrgoNZifz777/18lP/keX3byUp91rbnMfOkWE+c7wTAACApyDYAh6ievXqmj17thISEjR79myz23FaSkqKfvzxR7YhSzpz5oy6deumY0eP6LPn/6OYXlY1rxOqmlWC1bxOqGJ6WTnqBwAAwA24eRTgQTp37qxHHnlEgwcPVlRUlOrXr292S4VatGiRQkND1b59e7NbMZXD4dBDDz2kpKQkrV27VvXr1VN9iWN9AAAASgErtoCHmTZtmsLCwtSnTx9lZWWZ3U6BHA6HFi9erHvuuUeBgYFmt2Oq5557TgsXLtSCBQt0ww03mN0OAACAXyHYAh6mYsWKWrBggbZt26bJkyeb3U6BNm3apN9++83vtyHPnTtXkyZN0osvvqgePXqY3Q4AAIDfIdgCHqhVq1YaPXq0Jk6cqC1btpjdTr4WL16ssLAw3XzzzWa3YprExET1799f/fv317Bhw8xuBwAAwC8ZDm+6/SrgRzIzM3XTTTfp6NGj2rFjhypUqGB2SxfIyspSeHi4evfurWnTppndjil++OEH3XjjjWrVqpVWrFihsmW5bQG8m2FwYzMAgGdxNq6yYgt4qICAAH3wwQc6ePCghg4danY7F1m3bp3+/PNPv92G/Mcff+jOO+9UrVq1tGTJEkItAACAiVixBTzcO++8o8cee0zx8fGKjo42u51cDz/8sL766ivt3r3b71Z5Tp8+raioKB04cEBbtmzRFVdcYXZLgEsYhqGlttRCx/WwZp/FXNjYnHE/pJ4stGajsIpO1SzO/N5SM8g6oNCaGbaZbpvfH2uaPb8/1yzO/OmZhceW4ADDqbHOjjt/rLe8T75WkxVbwEf0799fnTp1Ur9+/XTo0CGz25GUfV7rxx9/rP/85z9+F2rPnTun//73v/rhhx+0YsUKQi0AAIAHINgCHs4wDM2ePVsOh0P9+vVz+lsrd1q9erWOHz+ue++91+xWSt2wYcMUHx+vxYsX67rrrjO7HQAAAIhgC3iF6tWra86cOUpISNDs2bPNbkeLFi1SkyZN1LhxY7NbKVUzZ87U9OnTFRMTo06dOrllDrvdoeW2g+o1a5Nav5ioXrM2abntoOx287/QAAAA8FTc7QTwEtHR0XrkkUc0ePBgRUVFqX79+qb0cerUKSUkJGjMmDGmzG+WFStWaODAgRo8eLCefPJJt8xhtzs0OHaH4lPSZDEku0NKO56hLXuPKHHXIc3oaZXF4l9bvwEAAJzBii3gRaZNm6awsDD16dNHWVlZpvQQHx+v06dP+9U25G+//Vb33nuvoqOj9corr7htnoSUVMWnpEnKDrXnP8YnpyohpfCbLAAAAPgjgi3gRSpWrKgFCxZo27Ztmjx5sik9LFq0SK1atdKVV15pyvyl7ffff1enTp3UsGFDffjhhypTpozb5lqYtF/5LchajOznAQAAcDGCLeBlWrVqpTFjxmjixInasmVLqc595MgRrV692m/Orv3nn3901113KTAwUAkJCapQoYLb5jpw4IB+/P2Q8ruU1u6QDhxNd9v8AAAA3oxzbAEvlJmZqZtuuklHjhzRjh07VLFixVKZd/bs2Xr00Ud18OBB1ahRo1TmNEtmZqaio6O1efNmbdiwweU3ysrIyNDXX3+tzz77TJ999pm+//57Ve89VUFXNJaMi79ztBhS8zqhiu1/g0v7AM7nb8d3AQA8H+fYAj4sICBAH3zwgVJTUzV06NBSm3fRokVq06aNz4dah8OhJ598UomJifr4449dEmodDod27dqlGTNm6I477lBoaKg6dOig2NhYtWzZUkuWLNG0J+7OM9RK2Su2vVvUKnEfAAAAvoi7IgNeqn79+po2bZoee+wxderUSdHR0W6dLy0tTWvXrtWsWbPcOo8nePnllzVr1iy99957ateuXbHrHD9+XImJifrss8+0evVq7d+/X+XKldMtt9yiiRMnqkOHDmrcuHHuKpnd7tDm308pPjk1967IOY+dI8MUHRHmqh8RyNdSW+E3KethDXNqrLPjzh/7Q+rJQsc2Cqvotvm9pWaQdUChYzNsM902v6/UNHt+f65p9vzFqZmeWfDKYXCA4dS44o71lvfJHTWdQbAFvFj//v21YsUK9evXTzt37lS1atXcNteSJUtUtmxZde/e3W1zeIKlS5dqxIgRGj16tPr27Vuk19rtdm3fvj13e/GmTZt07tw5XXPNNerWrZs6dOigW2+9VeXLl8/z9RaLoRk9rWrXoJoWJu3XgaPpCg8JVu8WtRQdEcZRPwAAAPkg2AJezDAMzZ49W02aNFG/fv20fPlyt10jt3jxYnXs2FEhISFuqe8JNm3apD59+ug///mPJk6c6NRr/vjjj9wg+8UXX+ivv/5SpUqV1K5dO7355pvq0KGDateu7XQPFouhLtaa6mKtWdwfAwAAwO8QbAEvV716dc2ZM0edO3fWu+++q/79+7t8jr1792rz5s1auHChy2t7ij179qhz585q3ry55s6dm+8XBGfPntWGDRu0evVqffbZZ0pOTpYkNWvWTI8++qg6dOigVq1aKSAgoDTbBwAA8GsEW8AHREdH65FHHtGQIUPUpk0b1a9f36X1Fy9erPLly6tz584urWsWu92hhJTU/233Pa0aFQOV/MlMVQkJVVxcnMqVK3fB+F9++SV3VXbNmjU6deqUqlevrttvv13Dhw/Xbbfdpssuu8yknwYAAAAEW8BHTJs2TWvXrlWfPn30zTffqGxZ1/3xXrRokTp37uzWc1xLi93u0ODYHYpPScu9MdPBo6elFn3U9t4nFBISqpMnT2rt2rW5q7J79uxRQECAWrdurTFjxqhjx46KiIiQxcKN5QEAADwBwRbwERUrVtSCBQt00003afLkyRo3bpxL6n7//ffauXOnJk2a5JJ6ZktISVV8Spqk7FArKfeInTW/nlDLnk8oOX6OMjMzddVVV6ljx47q0KGD2rRpo0suucSkrgEAAFAQgi3gQ1q1aqUxY8Zo4sSJ6tixo1q2bFnimosWLVKVKlXUoUMHF3RovoVJ+3NXav/NYT+nU2FNNX36dHXo0EH16tUr/QYBAABQZOyjA3zM6NGjdf311+u+++7TyZOFnwdZEIfDoUWLFunuu+++6LpTb+NwOPTjjz/q+9/+yDPUSpJhKaOQmvU0YMAAQi0AAIAXMRwOR+GnAgPwKrt375bVatV9992nd955p9h1tm7dqhYtWuiLL75Q+/btXdhh6Thz5oy+/vprrVixQitWrNCvv/6qy+97UYE1G+ZuPz6fw35OIVlH9Ea3emrdurXbjk4CPBW/5wEAnsbZuMqKLeCD6tevr2nTpmnWrFlKSEgodp1FixapevXqatOmjQu7c69Dhw5p3rx5uueee1S1alXdfvvtWrZsmTp06KBPP/1Urw3skWeolbJXbI9tW6Gbb75Z11xzjaZOnaqDBw+W8k8AAACAomLFFvBRDodDnTt3VlJSknbu3Klq1aoV6fXnzp1TrVq11L17d7322mtu6rLkHA6HkpOTc1dlk5KSJGVfb9ypUyd16tRJTZo0yV2JstsdGrzEpvjk1NxrbXMeO0eGado9EVq//mvNnTtXH330kc6cOaMOHTqob9++6ty5s9dvyQYKYhiGltpSCx3XwxomSYWOdXbc+WN/SC38EopGYRXdNr+v1Dx/bJB1QIHjMmwzXT6/N75PvvIzeUtNs+f3lprnj03PLDi2BQcYTo0ryticcWa+T6zYAn7OMAzNnj1bDodD/fr1c/ovhRzr169Xamqq/vOf/7ipw+JLT0/XypUr9dhjj6lWrVpq2rSpXnrpJV1xxRWaN2+e/vzzT23cuFGjRo1SRETEBdsrLRZDM3paFdPLquZ1QlWzSrCa1wlVTC+rZvS0qmzZMmrTpo3mz5+vtLQ0vf322zp27Jh69uypsLAwDRw4UDt27DDxpwcAAMC/cVdkwIdVr15dc+bMUefOnfXuu++qf//+Tr920aJFqlOnjlq1auXGDp134MABrVy5UitWrFBiYqLS09NVt25d3XPPPerUqZNuvvlmBQYGOlXLYjHUxVpTXaw1CxxXuXJlPfLII3rkkUf0448/at68eZo/f75ef/11RUZGqm/fvvrvf/+rqlWruuJHBAAAQDGxYgv4uOjoaD3yyCMaMmSIdu/e7dRrzp49q48++kj33nuvaTeTsdvt2rJli8aOHaumTZvqiiuu0IABA3Ty5ElNnDhRu3bt0u7duzV9+nS1a9fO6VBbXA0bNtSLL76o33//XQkJCapbt66GDRumsLAw3XPPPVq5cqWysrLc2gMAAADyxoot4AemTZumtWvXqk+fPvrmm29UtmzBf/S/+OILHTlyRPfee28pdZjtxIkT+uKLL7RixQqtXLlShw4dUmhoqO644w6NGDFCHTp0UEhISKn29G9ly5bNvXb38OHD+vDDDzV37lx16tRJl19+ue6//3717dtX11xzjal9AgAA+BNWbAE/ULFiRX3wwQfatm2bJk+eXOj4xYsXq2HDhoqIiHB7b7/++qtee+013X777br00kvVvXt3JSUlqW/fvlq/fr3+/PNPffDBB7r33ntND7X/dtlll2nw4MGy2Wzavn277r77bs2aNUsNGjRQ69atNXv2bP3zzz8XvMZud2i57aB6zdqk1i8mqtesTVpuOyh7fofrAgAAoFAEW8BPtGzZUmPGjNHEiRO1ZcuWfMedPn1acXFx+s9//uOWbchZWVn6+uuvNXz4cDVq1Ch3S6/FYtG0adP066+/6rvvvtMLL7ygm266qdDVZU9gGIauu+46vfHGG0pNTdXixYt1ySWXqH///rmruOvWrVNW1jkNjt2hQbE2bd13RAePZWjrviMaFGvT4CU2wi0AAEAxef4nRgAuM3r0aK1atUr33XefduzYoYoVK140ZuXKlTp58qRL74Z89OhRrV69WitWrNCqVat09OhRVa9eXXfddZcmT56s9u3b65JLLnHZfGYKCgpSr1691KtXL/3++++aP3++5s2bpwULFqjOrffIccODkrKPFzr/MT45Ve0aVCv0hlYAAAC4GOfYAn5m9+7dslqtuu+++/TOO+9c9Pzdd9+t33//XVu3bi32HA6HQ7t27co9W3bDhg06d+6cmjZtqujoaHXq1EnXX3+9LBb/2DTicDj0zTff6Km4PTpaNlSGpcxFYyyG1LxOqGL732BCh0A2s24WBwBAfpyNq6zYAn6mfv36mj59uh599FF16tRJ0dHRuc8dP35cn376qaZMmVLkumfPntXXX3+tFStWKCEhQb/++quCg4PVvn17vfnmm7rrrrtUs6Z/rkYahqGbb75ZFTae1bFjGXmOsTukA0fTS7kzAAAA30CwBfzQI488ooSEBD388MPauXOnqlevLklatmyZzp49q169ejlV59ChQ/r000+1YsUKff755zpx4oSuuOKK3LsGt2nTRsHBwe78UbxKeEh5pR3PUF6X0loMKTyE9wrmW2pLLXRMD2uYU2OdHXf+2B9STxY6tlFYRbfN7ys1izN/kHVAoTUzbDOLVNMX3ydquqam2fN7S02z588Zl55Z+KppcIDh1Fhnx50/1hkEW8APGYah2bNnq0mTJnq4Xz89MvFtLUzar+27yqn+YzO17bB0+eUOWSwX/mXicDiUnJycu8U4KSlJUvaNqUaMGKFOnTopIiKC7Yz56N2ilrbsPZLnc3ZH9vMAAAAoOoIt4KeqV6+ud2fPUb/ZX+u7WJsshmQvV0nnyl2iQbE2Je46pBk9rTpzJkNr1qzJDbMHDhzQJZdcog4dOujxxx/XHXfcoWrVqpn943iF6IgwJe46pPjk1Oz326Hcx86RYYqOCDO7RQAAAK9EsAX8Wa3rVKFx9g2ccrbHOpS92hqfnKodK+Zr+yfvKD09XXXr1tU999yjTp066eabb1ZgYKBZXXsti8XQjJ5WtWtQTQuT9uvA0XSFhwSrd4taio4Iu2iFHAAAAM4h2AJ+bGHS/twVw39z2M/pUKWrNWHCBHXq1EnXXHMNW4xdwGIx1MVak2N9AAAAXIhgC/ixA0dP5xlqJcmwlFHV2tfomWfalm5TAAAAQBH5xyGSAPIUHlJe+e1+5S69AAAA8BYEW8CP9W5RK98VW+7SCwAAAG9BsAX8WHREmDo2rCpJMpSdcHNWcLlLLwAAALyF4XA4Cj8ZF4DPmr/gAz0+9V3d9vh4HT5t5y69gB/jBnEAAE/jbFwl2AJ+7p577tGBAwe0efNms1sBYDKCLQDA0zgbV7krMuDH0tPTtWrVKo0dO9bsVgB4iKW21ELH9LCGOTXW2XHFHZueWfCHneAAw+Xzu+Nncvf75I75g6wDChyXYZvpEX16+vz+XNPs+b2lptnze0pNZ3CNLeDHvvzyS50+fVrdunUzuxUAAACg2Ai2gB9btmyZGjRooGuuucbsVgAAAIBiI9gCfiorK0vx8fHq2rWr2a0AAAAAJUKwBfzUhg0b9Pfff7MNGQAAAF6PYAv4qbi4OIWFhalZs2ZmtwIAAACUCMEW8EMOh0PLli1T165dZbHw1wAAAAC8G59oAT+UnJys3377jetrAQAA4BMItoAfiouLU+XKlRUVFWV2KwAAAECJGQ6Ho+DTzQH4nMjISDVp0kQffPCB2a0A8CCGYZjdAgAAF3A2rrJiC/iZX3/9VSkpKWxDBgAAgM8oa3YDAEpXXFycypUrp44dO5rdCgAPtNSWWuiYHtYwp8Y6O664Y9MzC/4WPzjAcPn87viZ3P0+mfkzBVkHFFozwzbTtD6LMpaavPe8T+bVdAYrtoCfiYuL02233aaKFSua3QoAAADgEgRbwI8cOnRI33zzjbp162Z2KwAAAIDLEGwBP5KQkCDDMBQdHW12KwAAAIDLEGwBPxIXF6ebbrpJl112mdmtAAAAAC5DsAX8xIkTJ/TFF19wN2QAAAD4HIIt4Cc+++wznTlzhmALAAAAn0OwBfzEsmXLFBkZqSuvvNLsVgAAAACXMhwOR8GHwAHwemfPnlW1atU0ePBgPf/882a3A8BDGYZhdgsAAFzA2bjKii3gB9atW6fjx49zzA8AAAB8UlmzGwDgfnFxcapTp44iIiLMbgWAh1tqSy10TA9rmFNjnR1X3LHpmQV/ix8cYLh8fnf8TO5+n7zlZwqyDihwXIZtpsv7LMpYavLe8z6ZV9MZrNgCPs5utysuLk7dunVjmyEAAAB8EsEW8HFbt25VWload0MGAACAzyLYAj4uLi5OVatWVevWrc1uBQAAAHALgi3g45YtW6bOnTurTJkyZrcCAAAAuAXBFvBhu3bt0k8//cQ2ZAAAAPg0gi3gw5YtW6YKFSqoffv2ZrcCAAAAuA3BFvBhcXFx6tixo4KDg81uBQAAAHAbgi3gow4ePKikpCR169bN7FYAAAAAtzIcDkfBp5sD8EpvvvmmBg0apEOHDikkJMTsdgB4Ac66BgB4GmfjKsEW8FG33XabDMPQ559/bnYrALwEwRYA4Gmcjatl3dwHABMcPXpU69atU0xMjNmtAPAyS22phY7pYQ1zaqyz49w1NmdcembhH4qCA4wi1fTF98lbagZZBxRaM8M2023zU9M1Nc2e31tqmj2/p9R0BtfYAj7o008/VVZWlrp06WJ2KwAAAIDbEWwBH7Rs2TK1aNFCNWvWNLsVAAAAwO0ItoCPSU9P1+rVq9W1a1ezWwEAAABKBcEW8DFffvmlTp06xTE/AAAA8BsEW8DHxMXF6ZprrlGDBg3MbgUAAAAoFQRbwIdkZWUpPj6e1VoAAAD4FYIt4EM2btyov/76i+trAQAA4FcMh7Mn3gLweE8//bRiY2P1+++/y2LheysARWMYhtktAABwAWfjKp98AR/hcDi0bNkydenShVALAAAAv1LW7AYAuEZKSor27dvHNmQAJbLUllromB7WMKfGOjvOXWNzxqVnFv5tf3CAUaSavvg++WLNIOuAQsdm2Ga6bX5qeu783lLT7Pk9paYzWNYBfMSyZctUuXJlRUVFmd0KAAAAUKoItoCPiIuL01133aXAwECzWwEAAABKFcEW8AF79+5VcnIyx/wAAADALxFsAR8QFxencuXKqWPHjma3AgAAAJQ6gi3gA5YtW6bbbrtNFStWNLsVAAAAoNQRbAEvd+jQIW3YsIG7IQMAAMBvEWwBL7dixQpJUnR0tMmdAAAAAOYg2AJebtmyZWrdurWqVatmdisAAACAKQyHw1H4qeUAPNLJkydVtWpVTZkyRU8//bTZ7QDwcoZhmN0CAAAXcDausmILeLHVq1frzJkzXF8LAAAAv1bW7AYAFF9cXJwiIiJ01VVXmd0KAB+x1JZa6Jge1jCnxjo7zl1jc8alZxb+bX9wgFGkmr74PvljzfPHBlkHFDguwzbT5fN7y/vE71HeJ7NrOoMVW8BLnT17VitWrFC3bt3MbgUAAAAwFcEW8FJfffWVjh8/zjZkAAAA+D2CLeCl4uLiVKdOHUVGRprdCgAAAGAqgi3ghex2u+Li4tS1a1fuYgoAAAC/R7AFvNC2bduUmprKNmQAAABABFvAKy1btkxVq1ZV69atzW4FAAAAMB3BFvBCcXFxio6OVtmynNgFAAAAGA6Ho/DD3QB4jF27dqlhw4aKj49XdHS02e0A8CFcsw8A8DTOxlVWbAEvExcXpwoVKqh9+/ZmtwIAAAB4BPYxAl5m2bJl6tixo4KDg81uBYAPWmpLLXRMD2uYU2OdHeeuscWpmZ5Z8MpAcIDhEX16+vzeUrM48wdZBxRaM8M2s0g1Pf198pT33h9rmj2/p9R0Biu2gBc5ePCgkpKSuBsyAAAAcB6CLeBF4uPjVbZsWd11111mtwIAAAB4DIIt4EWWLVumqKgohYSEmN0KAAAA4DEItoCXOHbsmNauXcs2ZAAAAOBfCLaAl1i5cqWysrLUpUsXs1sBAAAAPArBFvAScXFxat68ucLDw81uBQAAAPAoHPfjAna7QwkpqVqYtF8Hjp5WeEh59W5RS9ERYbJYOOweJZeenq5Vq1Zp9OjRZrcCAAAAeByCbQnZ7Q4Njt2h+JQ0WQzJ7pDSjmdoy94jStx1SDN6Wgm3KLHExESdOnWK62sBAACAPBgOh6Pgk8hRoOW2gxoUa8v3+ZheVnWx1iy9huCTHn74YW3YsEG7du0yuxUAPsww+CIWAOBZnI2rXGNbQguT9iu/BVmLkf08UBLnzp1TfHw8q7UAAABAPtiKXEIHjp6WPZ8vEewO6cDR9NJtCD5n48aN+uuvvwi2AErFUltqoWN6WMOcGuvsOHeNLU7N9MyCVwaCAwyP6NPT5/eWmu6eP8g6oMBxGbaZHtGnL773vlLT7Pk9paYzWLEtofCQ8gWu2IaHBJduQ/A5y5Yt0+WXX64WLVqY3QoAAADgkQi2JdS7Ra0CV2x7t6hVug3BpzgcDsXFxalLly6yWPjjCgAAAOSFT8olFB0Rps6R2UvkOSu3Dvs5SVLnyDBFRzi/fA78W0pKivbu3atu3bqZ3QoAAADgsQi2JWSxGJrR06qYXlY1rxOqsMpBsv+5Wy2yvueoH5RYXFycKleurKioKLNbAQAAADwWwdYFLBZDXaw1Fdv/Bm18tp06Bf+irR+9JU5NQEktW7ZMd911lwIDA81uBQAAAPBYBFs36N69u/bt26cdO3aY3Qq82N69e5WcnMzdkAEAAIBC+N1xP3a7QwkpqVqYtF8Hjp5WeEh59W5RS9ERYS7bNnzrrbcqNDRUH3/8sa677jqX1IT/Wb58ucqVK6eOHTua3QoAAADg0fxqxdZud2hw7A4NirVp674jOngsQ1v3HdGgWJsGL7HJnt/tjYsoICBAXbp00ccffyyHwzU14X+WLVum9u3b65JLLjG7FQAAAMCjGQ4/Sl7LbQc1KNaW7/MxvazqYq3pkrlWrlypTp066bvvvlPjxo1dUhP+4/Dhw6pRo4beeecd9evXz+x2APgJg5tDAAA8jLNx1a9WbBcm7Vd+u40tRvbzrtK+fXtVqlRJH330kctqwn8kJCTI4XCoc+fOZrcCAAAAeDy/usb2wNHTym+3sd0hHTia7rK5ypUrp06dOunjjz/WuHHjXFYXvuv867+//am86j/6hjalZiq6qoNjowCUmqW21ELH9LCGOTXW2XHuGlucmumZBa8MBAcYHtGnp8/vLTXNnj9nXJB1QKE1M2wzTe/TF997T69p9vyeUtMZfrViGx5SPt8VW4f9nMpmHHPpNbHdu3fXzp07tXv3bpfVhG/69/XfmYGX6GyVWi6//hsAAADwRX4VbHu3qJXviq1hKaNtsTG69957dezYMZfM17FjR5UvX14ff/yxS+rBdyWkpCo+JU2Scn+POpT9LUx8cqoSUgr/RgsAAADwV34VbKMjwtQ5Mns5O2flNuexc2SY3nv+SX322WeyWq3auHFjiecrX7687rjjDoItClWa138DAAAAvsavgq3FYmhGT6tielnVvE6oalYJVvM6oYrpZdWMnlb16tlDycnJqlmzpm655RZNmjRJ586dK9Gc3bt317Zt2/Tbb7+56KeALyrN678BAAAAX+NXN4+SssNtF2vNfI/1qV27tr766itNnDhR48aN05dffqkPPvhA4eHhxZrvrrvuUmBgoD755BMNGTKkJK3Dh1XQGTns52RYylz0nMWQwkOCTegKAAAA8A5+tWLrrLJly2r8+PFas2aN9uzZo8jISMXFxRWrVqVKlXT77bezHRl5OnHihB577DFteP/FPEOtlL1i27tFrVLuDAAAAPAeBNsC3HrrrUpOTtatt96qbt26acCAAUpPL/qW0O7du2vjxo1KS0tzQ5fwVomJiWrSpIk++OADvfzkveoccbmki6//NvZv13VVuSsyAAAAkB/D4crzbXyUw+HQO++8oyFDhqhevXpatGiRrr32Wqdff+TIEVWvXl0xMTF64okn3NgpvMGJEyc0fPhwvf3222rTpo3mzJmjK6+88oJzbA8cTVd4SLBuuzJYE/t1VWBggNauXVvsLfEA4AzD4MxsAIBncTauEmyL4LvvvtN//vMf/fLLL5o+fboeffRRpz8E3H777Tp37pwSExPd3CU82Zo1a/Twww/r8OHDeumll/TYY4/JYil448TevXvVpk0bBQQQbgG4F8EWAOBpCLZukp6ermeeeUZvvvmmunbtqjlz5ig0NLTQ173zzjsaMGCA/vjjD1WtWrUUOoUnOXnypEaMGKE333xTUVFRmjNnjq666iqnX79v3z5FRUWpbNmyWrduHeEWgFsYhqGltsLPze5hzT46r7Cxzo5z11h31kzPLPzjU3CAYVqfRRnrzzXNnr84NYOsAwocl2Gb6RF9evr83lLT7Pk9oaazcZVrbIsoODhYM2fO1LJly/T1118rMjJSX331VaGv69q1q+x2u5YvX14KXcKTrFu3ThEREZo3b57eeOMNJSYmFinUSlKdOnW0bt06ZWVlKSoqSr///rubugUAAAC8D8G2mLp27ark5GTVrVtXbdu21XPPPaesrKx8x1evXl0333wzd0f2IydPntSTTz6pNm3aqFatWtq5c6cGDBhQ6Nbj/OSE23PnzhFuAQAAgPMQbEsgPDxciYmJGj9+vKZMmaJbb71Vv/32W77ju3fvri+//FLHjh0rvSZhiq+++koRERGaO3euXn/9da1Zs6bIq7R5yQm3drtdUVFR2r9/vwu6BQAAALwbwbaEypQpozFjxujrr7/WwYMHFRkZqaVLl+Y59u6771ZmZqZWrFhRyl2itJw6dUpPPfWUoqKidMUVVyglJUVPPvlksVdp81K7dm2tW7dODodDbdq0IdwCAADA7xFsXeTGG2+UzWZThw4d1LNnTz3yyCM6derUBWPCw8PVsmVLtiP7qJxV2jlz5igmJkZr165V3bp13TJX7dq1tXbtWjkcDlZuAQAA4PcIti5UpUoVLV68WHPmzNHChQvVrFkz2Wy2C8Z0795dq1ev1smTJ81pEi536tQpDRw4UFFRUapZs6ZSUlI0cOBAl67S5iVn5VaSoqKiCtwGDwAAAPgygq2LGYahhx56SNu3b1dQUJBatmypmJiY3NtUd+/eXRkZGVq1apXJncIVcu6MPXv2bM2YMUPr1q1TvXr1Sm3+WrVqad26dTIMg3ALAAAAv0WwdZMGDRpo8+bNeuKJJzR48GBFR0fr8OHDuuqqq2S1WtmO7OVOnTqlQYMGKSoqSpdffrmSk5M1aNAgt6/S5iUn3FosFkVFRWnfvn2l3gMAAABgJsPh7Im3XsRudyghJVULk/brwNHTCg8pr94taik6IkwWi1Hq/axcuVIPPvigypYtq/fnz9eiDT/r819PqXaj63VFqLm9oejWr1+vvn37KjU1VVOmTNFTTz2lMmXKmN2Wfv/9d7Vp00bnzp3T2rVrVadOHbNbAuBlDIP/DgEAPIuzcdXngq3d7tDg2B2KT0mTxZDsDuU+do4M04yeVlMCZFpamvrcf7+SyzdVhUa3ymE/J8NSxiN6g3NOnz6t0aNHKyYmRjfeeKPmzp2r+vXrm93WBXLCbVZWltatW0e4BVAkBFsAgKfx22C73HZQg2Jt+T4/tl242tevku9/vPP69aKMLajGZ7v+1vOf538NZEwvq7pYa+b7PMyzYcMG9e3bV7///rsmT56sQYMGecQqbV4OHDigqKgowi2AIjMMQ0ttqYWO62ENk6RCxzo7zl1j3VkzPbPwj0/BAYZpfRZlrD/XNHt+d9YMsg4otGaGbaZpfRZlrD/XNHt+T6jpbFwt69QoL7IwaX/uKui/OeznNPq9Veq3aGTpNyap+n+mqtwVjWRYLg5EFiO7d4KtZzl9+rTGjBmjGTNm6IYbblBCQoKuueYas9sqUHh4uNatW6c2bdro1ltv1bp163TllVea3RYAAADgNj4XbA8cPZ1nqJUkw1JGYVc30fzPPsvz+by+DcjvG4Ki/HrOr43dKh05k3dvdod04Gh63k/CFOev0r7yyisevUr7bznhNioqSlFRUVq7dq2uuuoqs9sCAAAA3MLngm14SHmlHc/IM9xaDKl+WKhuv/2G0m9M0vyDm7R135F8V5MDzv4jh8PBNU4mS09P15gxYzR9+nS1atXKK1Zp81KzZs3clds2bdoQbgEAAOCzfO64n94tauW7Ymt3ZD9vloJ6MyxltHXRdPXo0UOHDx8u3caQa+PGjbJarZo5c6ZeeuklrV+/3itDbY6aNWtq7dq1KleunKKiovTrr7+a3RIAAADgcj4XbKMjwtQ5MvuC5JwbDOc8do4MU3REmEmdFd7be88/qXXr1qlx48aKi4szp0k/lZ6ermeeeUY33XSTQkNDZbPZ9Mwzz3jN1uOC5ITboKAgRUVFac+ePWa3BAAAALiUzwVbi8XQjJ5WxfSyqnmdUNWsEqzmdUIV08tq+nE6hfXWq2cPff/997rhhhvUrVs3PfDAAzp27Jhp/fqLTZs2qWnTpnrjjTf04osv6ptvvlGDBg3MbsulcrYlBwcHE24BAADgc3zuGlspO0B2sdb0yDsMF9Zb9erVFRcXp/nz52vgwIFKTEzUe++9p9tvv72UO/V96enpeu655zRt2jQ1b95cO3bsUMOGDc1uy23CwsK0du1atWnTJveGUvXq1TO7LQAAAKDEfO4cW1/y+++/66GHHtKXX36pxx57TC+//LIqVqxodls+YfPmzerbt6/27t2rCRMm6Omnn1bZsj75Pc9F0tLS1KZNG506dYpwC+AC3LwQAOBpnI2rPrcV2ZdcccUV+vzzz/Xmm29q/vz5ioyM1Pr1681uy6tlZGRoxIgRat26tSpVqqRvv/1Ww4cP95tQK0mXX3651q5dqwoVKigqKkq//PKL2S0BAAAAJcKKrZf45Zdf9OCDD2rjxo16+umnNWnSJAUFBZndllfZsmWL+vbtqz179mj8+PF65pln/CrQ/ltaWpratm2rEydOaO3atapfv77ZLQEwmWEYWmpLLXRcD2v2jRALG+vsOHeNdWfN9MzCPz4FBxim9VmUsf5c0+z5PaVmkHVAgeMybDNd3mdRxvpzTbPn94SarNj6mHr16umrr77SSy+9pNdff13XXXedtm3bZnZbXiFnlfbGG29UhQoV9O233+rZZ5/161Ar/f/K7SWXXKKoqCjt3r3b7JYAAACAYiHYepEyZcromWee0bfffqvg4GC1atVK48aN09mzZ81uzWMlJSXpuuuu04wZMzRp0iRt2rRJjRs3Nrstj1GjRg2tXbtWlStXVlRUlH7++WezWwIAAACKjGDrhRo3bqzNmzdr7NixmjJlilq1aqXvvvvO7LY8ypkzZzRy5EjdcMMNuau0I0eO9PtV2rycH27btGlDuAUAAIDXIdh6qYCAAI0bN06bN2/W2bNndf311+vFF1/UuXPnzG7NdFu3btV1112nV199VRMnTmSV1gnVq1dn5RYAAABei2Dr5a6//npt27ZNgwcP1siRI3XzzTf77bWSZ86c0ahRo3TDDTcoODhY3377rUaNGsUqrZNywm1ISIiioqL0008/md0SAAAA4BSCrQ8ICgrSiy++qPXr1+vQoUOKjIzUG2+8IbvdbnZrpWbbtm26/vrr9corr2j8+PHatGmTrr32WrPb8jrVq1fXmjVrFBISojZt2hBuAQAA4BUItj6kdevWSk5O1kMPPaSnnnpKt912m3777Tez23KrM2fOaPTo0WrVqpXKlSun7du3a/To0QoICDC7Na+Vs3IbGhqqqKgo7dq1y+yWAAAAgAIRbH1MhQoV9MYbb+iLL77Q7t271aRJE82dO9fp85+8yfbt29WsWTO9/PLLev7557V582Y1adLE7LZ8QrVq1bRmzRpVrVpVbdq0IdwCAADAoxkOX0w8kCQdP35cQ4YM0dy5c9WpUyfNmjVLl19+udltldiZM2c0ceJEvfDCC4qIiNC8efMUERFhdls+6dChQ2rXrp3++usvrV27Vg0aNDC7JQBuZBiG2S0AAHABZ+MqwdYPxMfHq3///srMzNSbb76pXr16md1SsX377bd64IEHtGvXLo0dO1YjR45k27GbHT58WG3bttXhw4e1du1aNWzY0OyWALgJwRYA4GkItrjAX3/9pSeeeEJLly5Vz549NXPmTFWtWtXstpx29uxZTZw4UVOnTlWTJk00b948RUZGmt2W3zh8+LDatWunQ4cOac2aNWrUqJHZLQFwA8MwtNSWWui4HtYwSSp0rLPj3DXWU2qmZxb8USs4wHB5n0UZ6881zZ7f22oGWQcUWjPDNtNt8/tjTbPn94SazsZVrrH1E1WrVtWSJUu0ePFiffnll7r22muVkJBgdltO+fbbb9WsWTO98MILGjt2rJKSkgi1peyyyy5TYmKiqlWrpjZt2uiHH34wuyUAAAAgF8HWz/Tq1UvfffedmjVrps6dO+uhhx7S8ePHzW4rT2fPntW4cePUsmVLWSwWbd26VePGjWPrsUkuu+wyrVmzRjVq1CDcAgAAwKMQbP3Q5ZdfroSEBM2ZM0cfffSRIiIilJiYaHZbF7DZbGrRooWmTJmi0aNHKykpSVar1ey2/F7VqlWVmJiYG26///57s1tCMdjtDi23HVSvWZvU+sVE9Zq1ScttB2W3c2UKAADwTgRbP2UYhh566CHt3LlTdevWVfv27fXUU0/p1KlTpvZ19uxZPf/882revLkcDoe2bt2q559/XoGBgab2hf+XE24vv/xywq0XstsdGhy7Q4Nibdq674gOHsvQ1n1HNCjWpsFLbIRbAADglQi2fq527dr68ssv9dprr2nOnDmyWq3auHGjKb0kJyerRYsWmjx5skaNGqWtW7d6/Sqtr66M5YTbsLAwtWnTRt99953ZLcFJCSmpik9JkyTl/DbMeYxPTlVCSuE3cgAAAPA0BFvIYrHoqaeeks1mU9WqVXXzzTdrxIgRysjIKJX5MzMzNX78eDVr1kx2u11JSUkaP36816/S+vrK2KWXXqrExETVrFlTbdu2Jdx6iYVJ+2XJ50QXi5H9PAAAgLch2CLX1VdfrW+++UZTpkzRjBkz1KxZM3377bdunTNnlXbixIkaOXKktm3bpqZNm7p1ztLiDytjl156qb788kuFh4ezcuslDhw9rfy+U7E7pANH00u3IQAAABfgHFvkaefOnbr//vv13XffaezYsRo5cqRL70acmZmpqVOnauLEiWrQoIHmzZun66+/3mX1PUGvWZu0dd+RPEOExZCa1wlVbP8bSr8xNzhy5Ijat2+v33//XWvWrFGTJk3Mbgl5+Pvvv9V+6godKRMiw1Lmoud97fclis4w8lnOBwDAJJxjixJp0qSJtmzZopEjR2rChAm68cYbXXa8S0pKilq2bKkJEyZoxIgR2rZtm8+FWsm/VsZCQ0P15Zdf6oorrlDbtm2VkpJidks4j91u19y5c9WgQQMdWLc4z1ArZf++7N2iVil3BwAAUHKs2KJQW7du1f3336+9e/dq8uTJGjx4sMqUyfuDcUEyMzP1wgsvaOLEibr66qs1b948NWvWzA0dewZ/WrHNceTIEd1222367bfftGbNGkVERJjdkt9LSUnRE088oQ0bNqhPnz568aWXNHVdmuKTU2UxssNszmPnyDDN6GmVJb+LcOHzDMPQUlvhl0n0sIZJUqFjnR3nrrGeUjM9s+CPWsEBhsv7LMpYf65p9vy+XDPIOqDQsRm2mW6b31dqmj2/J9RkxRYu07x5c3377bcaMGCAhg0bpqioKO3Zs6dINXbu3KlWrVpp/PjxGjZsmLZv3+7ToVbKXvkqaMW2zRWu29rtKUJDQ/XFF1+odu3aatu2rZKTk81uyW+dOHFCQ4cO1XXXXacjR45o7dq1mj9/vi6vUUMzeloV08uq5nVCVbNKsJrXCVVMLyuhFgAAeC2CLZwSHBysV199VevWrdPBgwcVERGht956q9BvULKysjR58mRdf/31ysjI0ObNmzV58mSVK1eulDo3T3REmDpHZn8jlZMVch7LHNih5/tG++QZsDnbkuvUqaN27doRbkuZw+HQkiVL1KBBA7399tuaMmWKbDaboqKicsdYLIa6WGsqtv8N2jCirWL736Au1pqEWgAA4LUItiiSW265RSkpKbr//vv1xBNPqEOHDvpt//48z2pN+d8q7XPPPadnnnlG3377rc+v0p7PYjHyXRnb+Gp/1ahRXVFRUbLZbGa36nIhISH64osvCLel7Oeff1aHDh3Uq1cvtWzZUj/++KOGDx/u9UdnAQAAFKas2Q3A+1SsWFFvvfWWunbtqocf7qcbnn5HgfVvzL1OL+14hrbsPaL0H7/WpenZq7TNmzc3u21T5KyMdbHWvOi5NWvW6Pbbb1fbtm312Wef+dx7lBNuc37GxMREWa1Ws9vySenp6Zo6dapefPFF1axZUytWrNBdd91ldlsAAAClhhVbFFuHDh30UmyiAuvfKOnis1qDG96iCfNW+Fxgc5XQ0FAlJiaqQYMGat++vTZu3Gh2Sy6XE26vuuoqtWvXTjt27DC7JZ/z6aefqnHjxnrxxRc1YsQIff/994RaAADgdwi2KJHl3/+t/C7LsxjS0h1ppduQl6lcubI+++wzWa1W3X777frqq6/MbsnlqlSpoi+++EJ169Yl3LrQ/v37dffdd+uuu+5S3bp1tXPnTk2YMEHBwcFmtwYAAFDqCLYokd+P+M9Zre5yySWXaNWqVbrhhht0xx136IsvvjC7JZerUqWKPv/8c9WvX1/t2rXT9m+/zfO6bHt+v5mQ6+zZs3rppZfUsGFDbd68WbGxsfr888919dVXm90aAACAaQi2KBaHw6Hly5cr7Zfv5LCfy3OMxZDCQ1g9ckb58uWVkJCgNm3aKDo6WitXrjS7JZerUqWKPvvsM9WrX1+dp3ysQbE2bd13RAePZWjrviMaFGvT4CU2wm0BvvrqKzVt2lSjRo3So48+ql27dqlnz54yDO5mDAAA/JvhcPbEW+B/tm7dqmeeeUZff/21WvYcoD+uuiPfsTG9rHneOAl5O3v2rO69916tWLFCsbGx6tatm9ktudziTb/o2fif8n2e3zMX+/PPPzVs2DAtWLBAN954o958801FRkaa3RZ8EF+SAAA8jbNxlRVbOG3fvn3q3bu3WrRooSNHjmjVqlXasPC1i85qzflY1DkyTNERYeY066UCAwMVGxuru+++Wz169FBsbKzZLbncsp2H870u25A0a80P+vXXX3XkyBFlZWWVam+e5ty5c3rzzTd1zTXX6NNPP9WcOXO0fv16Qi0AAMC/cNwPCnXs2DFNnTpVMTExCgkJ0bvvvqu+ffuqTJkykqQZPa1q16Ca3v9mj5J+2KMGV1ymp+5oquiIMFnySzDIV0BAgD788EOVK1dOvXv31pkzZ3T//feb3VaxnTp1SjabTdu3b9f27duVVOU2OcqH5DnWISn5lwOqW/f23F+75JJLVKVKlSL9U7ly5dzHsmU99685u92hhJRULUzarwNHTys8pLx6t6il6Igwbd++TY8//ri2b9+uRx55RFOnTtWll15qdsvwA0ttqYWO6WENc2qss+PcNdZTaqZnFrzaEBxguLzPooz155pmz+/PNc8fG2QdUOC4DNtMl8/vje+Tr/xMxanpDM/9xAfTZWZm6u2339b48eOVnp6uZ599Vs8884wqVqx4wbics1rb16+iihVv1csLF7KVtITKlCmjuXPnKjAwUA8++KDOnDmjRx55xOy2CvXvELt9+3b9+OOPstvtCgwMVEREhKrc2lbH5JBDF3/pYTGkyHrhmp+YqGPHjuX7z759+y749xMnTuTbU8WKFYscjM8PyO4Kxna7Q4Njdyg+Je2iM6BfWLBSW6Y/rsjICG3atEmtWrVySw8AAAC+gmCLizgcDsXFxWnEiBH65Zdf9NBDD2nChAkKCyv4G5OcY0ZOnjxZGm36PIvFonfeeUdBQUHq37+/zpw5oyeffNLstnL9O8Ru27ZNu3btuiDE3nzzzRo8eLCuv/56NW7cWIGBgVpuO6hBsbY8a9odUv+2jdS2iF+MZGVl6Z9//ikwDJ//z2+//abk5GRTg3FCSqriU9Jyf+7zH9MCa+qxqe/qtaH3m77iXNCqMjsyAACApyDY4gJJSUkaOnSovvnmG3Xo0EEfffSRIiIinHqtxWJRhQoVdOrUKTd36T8sFotee+01lStXTk899ZTOnDmjoUOHlnofOSF227ZtuUH2/BAbGRmpW265RUOGDLkgxOYlOiJMibsOKT45NXel0mE/J8NSptjXZZctW1ahoaEKDQ0t1s+XVzA+fvx4vsF4//79SklJyf33f/75J9/a5wfjnC3SVapU0Q+X3y6jbGieK9eGpIPBV+rYsWOqVKlSvu+luxW0qpy465Bm9LQSbgEAgEcg2EJS9o2hRo4cqcWLF6tJkyZavXq1OnToUOQ6BFvXMwxDL7/8soKCgvTMM88oIyNDo0ePdtt8J0+evGg7cXFDbF4sFiP3uuzsVcB0ZR3/Uz+tnKPB/d81JSiVNBifO3euSCvGv//+u45eapGjbN4/q0PS9l37dNllbSVl31TskksuueifSpUqFenXL7nkElWoUEEWi3P3DSxoVTk+OVXtGlTjsgMAAOARCLZ+7tixY5oyZYpiYmJ06aWXas6cOXrggQdybwxVVBUqVGArshsYhqFJkyYpKChIY8aMUUZGhiZMmFDioznyCrE//vijHA6HypUrp4iIiNwQ26xZMzVu3FgBAQEl/nlyrsvOCUWnTp3S1e8/o5HPPuuVd4IuU6aMQkJCFBKS902x8tJr1iZt3XdEeR3ba8ihRrWr6/VPPtGJEyf0zz//6MSJExf9k7N6/O9fP3cu77OlpezfSxUrVsw3+J4filedvUaGgvO9Hnph0n6CLQAA8AgEWz919uzZ3BtDnTlzRqNHj9bQoUNVoUKFEtWtWLEiK7ZuNGbMGJUrV07Dhw9Xxpkzuqn3IKevffx3iM25JvbfIfbpp5/OXYl1RYh1RoUKFTRlyhQ9+OCDGjhwoFq3bl0q85qpd4ta2rL3SJ7POWSoUeARde363yJ/eeFwOJSRkVFgIM7vud9///2C5wLveVFlKpXPcx67QzpwNL3IPzcAAIA7EGz9jMPh0LJlyzRixAj9+uuvuTeGuvzyy11Sn63I7jds2DCVKxekiV/u19JYW57XPk66q55SkpNzA2zOduKcEBsZGamoqCgNHTq01ENsfvr06aPXX39dgwcP1pYtW5zeLuut8rrWOOexxpkDinn6ce1ZE6t3331XNWrUcLquYRgKDg5WcHCwqlWrVqIeC1pVthhSeEhwieoDAAC4CsHWj2zZskVDhw7Vhg0b1LFjR33yySdq0qSJS+dgK3LpqH3L3aqQZpOU97WP700colM/fOWxITYvFotF06dP1y233KIPP/xQffr0Mbslt8rrWuPwkOD/rbrfqU/b1tTDDz+sJk2a6N1331XXrl1LvceCVpXtjuznAQAAPIHhcDgKPjUcXm/v3r0aOXKkYmNjFRERoZdfflm33367W+bq2rWrsrKytGLFCrfUL21mHXVy7tw5HT58WH/88YfS0tIuekyp2kZnKl0h5bWq6bCrdnCmXutaV40aNfLIEFuQHj16aNOmTfrpp59KvDXe2x0+fFiPPPKIli9frr59+2rGjBmqVKlSqc1vtzs0eIktz1XlzpFh3BXZB5X0un0AAFzN2bhKsPVhR48e1ZQpU/Taa6+patWqmjRpku6///5i3xjKGf/973+VmpqqtWvXum2O0pLXUScl/VB/+vTpPIPqvx8PHToku91+wWsvvfRSXX755apRo4b2Wx/RmbL5h76aVYK1YUTbYv3cZtu7d68aNGigkSNH6vnnnze7HdM5HA7NnTtXgwYNUtWqVTV//nzdfPPNpTb/hV/unL+qzDm2vohgCwDwNARbP3b27Fm99dZbmjBhgs6cOaMRI0bo6aefLpXVr/79+2vHjh3aunWr2+dyt+W2gxoUa8v3+ZheVnWx1pTdbtfff/9daFhNS0vTiRMnLqgRGBioGjVqqEaNGrmh9fzHnP9dvXr1C47UKezax+Z1QhXb/wZXvRWl7tlnn9Vrr72mn3/+WeHh4Wa34xH27t2r+++/Xxs2bNCwYcM0YcIElStXzuy24GMMw9BSW2qh43pYs8+bLmyss+PcNdbbaqZnFv6RLDjAcNv8/ljT7Pn9uWZx5g+yDii0ZoZtZpFq+uL75Gs1nY2rXGPrQxwOhz755BONGDFCe/fuVb9+/TR+/Pgi3XimpHzprsgLk/bnrtBexGHXM2/HacCKqfrzzz+VlZV1wdNVqlTJDaU1a9bU9ddfn2dwDQkJKdYKia9f+zhq1CjNnTtXo0aN0vz5881uxyNceeWVWrdunV555RWNHTtWq1ev1gcffODy6+QBAAC8EcHWR2zevFlDhw7Vxo0bdeedd2r58uVq3LhxqffhSzePOnD0dN6hVpIMi8pUqqaHHnroosBao0YNBQUFubW3m2oF6+zPGxR4des8t0lHR4S5dX53q1SpkiZNmqT+/fvrySefVIsWLcxuySOUKVNGI0aMUIcOHXTfffepWbNmmjJlioYMGeLzd5EGAAAoCMHWy/36668aOXKklixZosjISH3xxRdq3769af340opteEh5pR3PyHe7b2S9cE3o36P0G5M0fdo0HV/9mt4aeJ9W/nTcJ699fOihh/TGG2/o6aef1vr167n27zxWq1Xbtm3T6NGjNWzYMK1YsULz5s1T7dq1zW4NAADAFHzF76WOHj2qoUOHqkGDBtqwYYPmzZun7du3mxpqJd86x7Z3i1r5rtiaud33r7/+UkxMjJ58coDuv7WRYvvfoA0j2iq2/w3qYq3pE6FWyl6dnDZtmjZs2KClS5ea3Y7HCQoK0quvvqrExETt2bNHERERWrBggdPXoQAAAPgSgq2XOXv2rGbMmKG6detq1qxZGjdunH7++Wc98MADbr3bsbMqVKigM2fOXHTNqTeKjghT58jsLb05WTHn0cztvi+99JIMw9Dw4cNNmb80tWvXTp07d9bw4cOVkZFhdjseqU2bNkpJSVGXLl10//33q2fPnvr777/NbgsAAKBUEWy9hMPh0EcffaRGjRpp6NCh6tmzp3bv3q3Ro0erfPnyZreXq2LFipLkE6u2FouhGT2tiullVfM6oapZJVjN64QqppfVtPM7//jjD73xxhsaPHiwLr300lKf3wwvv/yyDh48qOnTp5vdiseqUqWK5s+fryVLlmjNmjW69tprtXr1arPbAgAAKDUEWy+wadMmtW7dWj169FCDBg20c+dOvf3226V6t2Nn5Rwp5AvBVsoOt12sNT1mu+/UqVNVrlw5Pf3006bMb4arr75aTz75pKZMmaI//vjD7HY8Wo8ePbRz505FRkbqjjvu0BNPPOEzfxYBAAAKwjm2HmzPnj0aOXKkli5dKqvVqldeeUXt2rUzu60CffXVV4qKitJPP/2kq6++2ux2fMqBAwdUt25djR07VmPGjDG7nVJ19OhR1atXT926ddPs2bPNbsfjORwOvf322xo6dKjCw8O1YMECtWzZ0uy24AW4SRsAwNM4G1dZsfVAR44c0dNPP62GDRtq48aNev/997V9+3aPD7WSb21F9jSTJ0/WJZdcokGDBpndSqkLCQnR+PHj9d5778lms5ndjsczDEOPP/64duzYoSpVqqh169Z6/vnnlZmZaXZrAAAAbsGKrQc5c+aMZs6cqUmTJikzM1MjR47U4MGDPeoa2sLs2rVLDRs21Pr163XTTTeZ3Y7P2Lt3r66++mpNmTJFw4YNM7sdU2RmZioiIkI1atTQmjVrWFlyUmZmpqZMmaKJEyfquuuu04IFC3TNNdeY3RY8lGEYWmpLLXRcD2v2zfMKG+vsOHeN9baa6ZmFfyQLDjDcNr8/1jR7fn+u6e75g6wDChyXYZvpEX16+vyeUJMVWy/icDi0ZMkSNWzYUMOHD9e9996rX375RaNGjfKqUCv9/zW2J0+eNLkT3zJx4kRdeumlGjCg4L+kfVlAQICmTZumdevWafny5Wa34zUCAgI0btw4bdy4UceOHVPTpk01c+ZMjgUCAAA+hWBrso0bN+rGG29Ur169dO2112rnzp168803Vb16dbNbKxa2Irve7t27NX/+fI0cOdLrvuhwtTvuuEMdOnTQsGHDdPbsWbPb8SotWrTQjh071LdvXz355JO64447dODgQS23HVSvWZvU+sVE9Zq1ScttB2XP7wBnAAAAD0WwNcmePXvUo0cPtW7dWmfOnFFiYqLi4+PVsGFDs1srEV+7K7InGD9+vGrUqKFHH33U7FY8wquvvqq9e/fqjTfeMLsVr1OhQgXNnDlTq1atUnJyiloOfkuDYm3auu+IDh7L0NZ9RzQo1qbBS2yEWwAA4FW8Ltja7Q6vXmE4cuSIhgwZooYNG2rz5s2aP3++tm3bprZt25rdmksEBgaqbNmybEV2kR9++EELFy7UmDFjFBQUZHY7HqFx48Z69NFHNWHCBB0+fNjsdrxSx44d9crStQqod4MkKeevz5zH+ORUJaQUft0LAACAp/CqYGu3OzQ4dodHrzDkF7zT0zP06quvqm7dupozZ47Gjx+vn3/+WX369JHF4lX/NxSqYsWKrNi6yLhx41S7dm099NBDZrfiUcaPHy9Jev75581txIvF/3BE+R3HbDGkhUn7S7chAACAEihrdgNFkZCSqviUNEl5rzC0a1BNXaw1Teru/4N3fEqaLEZ2b2nHM7Rl7xHpt206sGSSHn20v8aNG6dq1aqZ1qe7VahQgRVbF7DZbProo480Z84cBQYGmt2OR6latarGjh2rESNG6IknnlDjxo3NbsnrHDh6Wvl9F2h3SAeOppduQwAAACXgVcF2YdL+3MD4bw77OT0xbaEe+2KagoODVb58+dx/Cvr3oowtX768AgMD8z1mpKDgrdrN9Hr8Rj1+Z3M3vDOehRVb1xg3bpzq1aun+++/3+xWPNJTTz2lt99+W0OHDtXq1avNbsfrhIeUV9rxjDz/PrUYUnhIcOk3BQAAUExeFWwLWmEwLGUUekV99XziCaWnp+v06dO5/+T8+19//XXBv5//z7lz55zqwTCMfEPvX5H3SRXDJOPircUWQ1p3IEuPl+QN8BIVKlQg2JbQ1q1bFR8frwULFqhsWa/6Y1pqAgMD9fLLL6tbt25atWqV7rjjDrNb8iq9W9TK3k2SB7sj+3kAAABvYTi86DDDXrM2aeu+I/muMDSvE6rY/jcUq3ZmZuZFQTivcFzQv2+seocyAy/Jd46aVYK1YYRv3CSqILfccotq166tBQsWmN2K17rjjjv022+/aefOnSpTpozZ7Xgsh8Ohtm3b6o8//lBKSooCAgLMbslr2O0ODV5iU3xyau5OmJzHzpFhmtHTKkt+F+HCZ+W3IwkAALM4G1e9ainInSsMAQEBqly5sipXrlzk1546dUrTpk3Tl7v3q+zlDWRYLg4i/rS1j63IJbNhwwatXr1aS5YsIdQWwjAMTZ8+Xdddd53eeecdPfnkk2a35DUsFkMzelrVrkE1LUzarwNH0xUeEqzeLWopOiKMUAsAALyKV63YetoKQ1ZWlubOnatx48bp77//VpeBE5VUNv+b2MT0spp6c6vS0qNHD/3zzz/67LPPzG7FK7Vt21Z///23duzY4XN3zHaXfv36admyZfrll18UEhJidjuA1zIMQ0tthR/11MMaJkmFjnV2nLvGelvN9MzCP5IFBxhum98fa5o9vz/XNHv+nHFB1gGF1sywzTStz6KM9dWazsZVr/rUnLPCENPLquZ1QlWzSrCa1wlVTC9rqYZah8Oh+Ph4RUREqH///mrbtq1++uknPX5XC538fl12r/9rJeexc2SYoiPCSqU/s3FX5KI5/4io68d/qh9q3K4uAydKYsXMWZMmTdLZs2c1YcIEs1sBAACACbxqK7KUHW67WGuatvK5ZcsWDRs2TOvXr1fbtm21YMECXX/99Tp37py6du2qq8qV06jxg7Ro6+9+u7WPrcjOy+uIqKArGmv+LxYdW2LjOkcn1ahRQ6NGjdJzzz2nxx9/XFdffbXZLQEAAKAUeV2wNcsvv/yiUaNGaenSpWrSpIlWrVqlDh065N5o491331VycrK2bNmiFk3D1bVpuMkdm4e7IjsvryOi9L/tx55wNrM3GTJkiN555x0NGzZMy5cvN7sdAAAAlCKv2opshsOHD2vgwIFq2LChNm3apLlz52rHjh3q2LFjbqg9cuSIRo8erQcffFAtWrQwuWPzsRXZeTlnM+fFYmQ/D+cEBQXpxRdfVHx8vBITE81uBwAAAKWIYJuP06dPa8qUKapbt67ef/99TZo0ST///LMefPDBi+5UO27cOGVmZmrq1KkmdetZ2IrsvILOZrY7pANH00u3IS/Xs2dP3XjjjXr66aedPpsaAAAA3o9g+y/nzp3TnDlzVL9+fT3//PN6+OGHtWfPHo0YMULBwRcf17Nz50699dZbeu6551SjRg0TOvY8OVuRveiG26YJDylf4IqtvxwR5SqGYWjGjBlKSUnRe++9Z3Y7AAAAKCUE2/9xOBxauXKlIiMj1a9fP91yyy3atWuXpk+frqpVq+b7mkGDBqlu3boaOHBgKXfsuSpUqCC73a6MjAyzW/F4vVvUKnDFtiRnM/ur5s2b67777tOYMWP0zz//mN0OAAAASoFXnWPrLlu3btXw4cO1bt06RUVF6eWXX1azZs0Kfd3HH3+se+65RytXrtSdd95ZCp16h7i4OHXr1k2HDx/O90sBZPO0s5l9xYEDB3T11Vdr4MCBeuGFF8xuB/AaOfeOAADAU/jkObautmfPHt17771q0aKFDh8+rJUrV2rNmjVOhdr09HQNHTpUd911F6H2XypUqCBJXGfrBE85m9nXhIeHa/jw4Zo+fbr27t1rdjsAAABwM79csf3rr780adIkvfnmm7rssss0ceJEPfDAAxfdFKogEyZM0KRJk/T999+rfv36buzW+2zcuFGtW7fWd999p8aNG5vdDvzUqVOndPXVV+vGG2/U0qVLzW4H8AqGYWipLbXQcT2sYZJU6Fhnx7lrrC/XTM8s/ONbcIDhtvl9pabZ8/tzTbPnL07NIOuAAsdl2Ga6vM+ijPXVmqzY5iE9PV0vvPCC6tatq/fee0/PP/+8du/erYceeqhIoXb//v164YUXNHjwYEJtHipWrCiJFVuYq0KFCnrhhRf00Ucfaf369Wa3AwAAADfyi2B77tw5zZ07V1dffbXGjh2rBx98UHv27NGoUaNUvnz5ItcbPny4KleurDFjxrihW++XsxWZs2xhtv/+979q1qyZhgwZIrvdbnY7AAAAcBOfDrYOh0OrVq2S1WrVQw89pBtvvFE//vijYmJidNlllxWr5ldffaXY2Fi98MILqlSpkos79g2s2MJTWCwWTZ8+Xdu3b9eCBQvMbgcAAABu4rPBdvv27Wrfvr3uvPNOhYaGavPmzYqNjVW9evWKXfPcuXMaNGiQWrZsqT59+riwW9/CzaPgSW666Sb17NlTo0aN4vckAACAjyprdgPFZbc7lJCSqoVJ+3Xg6GmFh5RX7xa1dG2lM3pu7FgtXLhQDRs2VHx8vDp16uSSIwzeffddJScna8uWLbJYfPY7gRLL2d7NVmR4ihdffFENGjTQSy+9pPHjx5vdDgAAAFzMK4Ot3e7Q4Ngdik9Jyz3zM+14hrbsPaL0H79WmaR1mjVrlvr27auyZV3zIx45ckSjR4/Wgw8+qBYtWrikpq+yWCwqX748q2PwGHXq1NGQIUP08ssvq1+/frriiivMbgkAAAAu5JXLjgkpqYpPSZOUHWrPfwxueItmLFuvRx55xGWhVpLGjRunzMxMTZ061WU1fVmFChUItvAoI0eOVKVKlTRy5EizWwEAAICLeWWwXZi0X5Z8dhZbDOnj5D9dOt/OnTv11ltv6bnnnlONGjVcWttXVahQga3I8CiVKlXSpEmT9OGHH2rLli1mtwMAAAAXMhzOnnjrQVq/mKiDxzLyfb5mlWBtGNHWJXM5HA61a9dOBw8e1M6dOxUYGOiSur6uSZMmatu2rWJiYsxuBch17tw5XX/99Spfvrw2bNjgkmvvAV/CnwkAgKdxNq565YpteEj5Aldsw0OCXTbXJ598orVr12rGjBmE2iJgKzI8UZkyZTR9+nRt2rRJsbGxZrcDAAAAF/HKFdvltoMaFGvL9/mYXlZ1sdYs8Tzp6elq2LChrr32Wq1YsaLE9fxJu3btdNlll2nx4sVmtwJcpGvXrtqxY4d27dql4GDXfREGeDvDMLTUllrouB7WMEkqdKyz49w11pdrpmcW/vEtOMBw2/y+UtPs+f25ptnzu7NmkHVAoTUzbDPdNr+v1fTpFdvoiDB1jsx+Q3JWbnMeO0eGKToizCXzvPzyy0pNTdX06dNdUs+fVKxYkRVbeKyXX35ZaWlpmjZtmtmtAAAAwAW8MthaLIZm9LQqppdVzeuEqmaVYDWvE6qYXlbN6GmVJb99ykWwf/9+vfDCCxoyZIjq16/vgq79C1uR4cnq16+vp556SlOnTlVaWprZ7QAAAKCEvPIcWyk73Hax1nTJluO8DB8+XJUrV9aYMWPcUt/XcVdkeLqxY8fq/ffnq9/Et1XR2lEHjp5WeEh59W5RS9ERYS75ggwAAAClw2uDrTt99dVXio2N1bx583TJJZeY3Y5XYisyPF2lSpXVbOAb+j69oix7j8guKe14hrbsPaLEXYdctvsDAAAA7ueVW5Hd6dy5cxo0aJBatmypPn36mN2O12LFFp4uISVVu9IrSpLs//s1+//uTRCfnKqElMJvaAAAAADPwIrtv7z77rtKTk7Wli1bZLGQ+4uLFVt4uoVJ+2Ux/j/Mns9iZD/vrksdAAAA4Fp+H2ztdocSUlK1MGm/fvv7pA7sOqk7HhurZs2am92aV+PmUfB0B46ezjPUStlh98DR9NJtCAAAAMXmlefYuord7tDg2B2KT0nLXblx2M/JsJRR58gwrrErgffee08PP/ywsrKyVKZMGbPbAS7Sa9Ymbd13JM9wa8ihZrVDtPSx1qXfGGAiw+C/eQAAz+LT59i6SkJKquJTso/6yPlwa1iyQxjX2JVMxYrZ1y6yagtP1btFrXxXbB0ytOXDV/Xhhx/KbrfnPQgAAAAew6+3InONnftUqFBBUnawrVSpksndABeLjghT4q5Dik9OlRx2ybDk7thoe9UlOvazofvuu08xMTGaNm2abrrpJrNbBkrFUlvhX+r2sIY5NdbZce4a68s10zMLX8EIDjDcNr+v1DR7fn+uafb8nlIzyDqg0LEZtplum99bajrDr1dsucbOPex2h3b+U07V/zNVXeakqNesTVpuOyh7fm82YAKLxdCMnlbF9LIq8PjvKpd1SnXKZ+nw8pf0cOOy+uTjj/XVV1/Jbrfr5ptvVo8ePbRnzx6z2wYAAEAe/DrYhoeUV36X0FoMKTwkuHQb8gE51y2/nXJG5a5opEOnsrR13xENirVp8BIb4RYexWIx1MVaU5W3zdWtx7/UmjFd1CD4pAYPGiS73a5bbrlFSUlJmj9/vjZt2qRGjRpp2LBhOnbsmNmtAwAA4Dx+HWwLusbO7sh+HkVz/nXLOdcrczYoPF1mZqYCAgJUpkwZvfbaa9q2bZvmzZsnSbJYLOrTp49+/vlnjR07Vm+99Zbq1aunN954Q5mZmeY2DgAAAEl+HmyjI8LUOTJ733bOym3OY+fIMEVHOL+nG9lyrlvOS851y4CnyQm2ktS6dWv17t1bI0eO1PHjx3PHlC9fXmPGjNHu3bvVtWtXDRw4UE2aNNGKFSucvlsfAAAA3MOvg+3519g1rxOqmlWC1bxOqGJ6WTnqp5i4bhne6PxgK0kvvviiTp48qYkTJ1409vLLL9fs2bO1Y8cO1axZU9HR0brtttuUnJxcmi0DAADgPH4dbKX/v8Yutv8N2jCirWL736Au1pqE2mIKDykvQ3knW65bhqf6d7ANDw/XqFGjFBMTo59++inP10RGRurLL79UQkKCDhw4oKZNm6pfv35KS0srrbYBAADwP34fbOFa3SOry6G8vxTgumV4qqysrAuCrSQNHTpUV1xxhYYMGZLv6wzDUKdOnbRz50699tpriouLU/369TVx4kSdPn3a3W0DAADgfwi2cKmkj95Sxq71kiSH/dwFj1y3DE/17xVbSQoKCtKrr76qVatWaeXKlQW+PiAgQE8++aR++eUXPf7445o4caKuvvpqLViwQHa73Z2tAwAAQJLh4K4ncJHvvvtOVqtV48dP0BU3ddXwd+J1ef1rFZh5Qj+tnKNv497VVVdeaXabwEUuvfRSDR8+XCNGjLjg1x0Oh2677Tbt379f3333nQIDA52qt2fPHj377LP66KOPdP3112vatGm65ZZb3NE64FKGwWU4AADP4mxcZcUWLmG32/X444+rXr16euaZoerYsKr+XDRSz193TomjolX+8A8a+eyzZrcJ5CmvFVsp+0N+TEyMfv31V8XExDhdr27dulq6dKnWr18vi8WiW2+9Vd27d9cvv/ziyrYBAADwP2XNbgC+4f3339c333yjxMRElStX7oJv/StWrKgpU6aob9++GjhwoFq3bm1ip8DF8gu2ktS4cWM98cQTmjhxovr06aMaNWo4Xfemm27S5s2btWjRIj377LNq1KiRnnzySY0dO1YhISGuah9wqaW2ws8b72ENc2qss+PcNdafa54/Nj2z4NWO4ADD5fN74/vkKz+Tt9Q0e35vqXn+2CDrgALHZdhmunx+T3mfnMGKLUrs77//1rBhw/Tf//5Xbdu2veC5nK0D999/v6677jo9/fTTXHMIj1NQsJWk8ePHKzAwUKNGjSpybYvFov/+97/66aefNG7cOL377ruqV6+eXnvtNWVmZpakbQAAAPwPwRYlNnLkSGVlZemVV17J/bWcFducYGuxWDRt2jQlJSVp0aJFpvQJ5MXhcOjcuXMFBtuQkBBNmjRJc+fO1datW4s1T/ny5TV69Gjt3r1b3bt315AhQ3TttdcqPj5e587Ztdx2UL1mbVLrFxPVa9YmLbcdlD2/Q6EBAABwAYItSmTTpk169913NXny5Au2aP472ErSrbfeqm7duunZZ5/lKBR4jJxV04KCrSQ98sgjioyM1MCBA0u066BGjRqaNWuWduzYoVq1aqlLl66KeGyaBsXatHXfER08lqGt+45oUKxNg5fYCLcAAABOINii2LKysvT444+rWbNmeuyxxy54Lq9gK0kvvfSS/vzzT02bNq3U+gQK4mywLVOmjGJiYrR582Z9+OGHJZ43IiJCn3/+uZ6fm6BTVRtKyj7r+fzH+ORUJaQUfv0JAACAvyPYothef/11paSk6K233lKZMmUueC6/IyPq1aungQMH6oUXXlBqKh/YYT5ng62UveugR48eGjFihE6cOFHiuQ3D0A9nQ2XJ54QViyEtTNpf4nkAAAB8HcEWxXLw4EE999xzeuKJJ9SsWbN8x+V17tSYMWMUFBSkMWPGuLNFwClFCbaS9PLLL+vo0aOaMmWKS+Y/cPS08tttbHdIB46mu2QeAAAAX0awRbEMGTJEFSpU0KRJk/J8Pr+tyJJUpUoVjR8/XvPmzdO3337r1j6BwuQE27JlnTv9rHbt2hoxYoSmTZvmknNpw0PKF7hiGx4SXOI5AAAAfJ3hyCt5AAX47LPP1LFjR33wwQf673//m+eY48ePq0qVKoqNjVXPnj0vej4rK0sRERGqXr261qxZk+/WZcDdfvvtN9WpU0efffaZbr/9dqdec/r0aTVo0EBNmzbV8uXLSzT/cttBDYq15ft8TC+rulhrlmgOwFn8XQwA8DTOxlVWbFEk6enpGjBggNq0aaPevXvnO66gFVspe3Xs1Vdf1bp160ocDICSKOpWZCn76J5XXnlF8fHx+vzzz0s0f3REmDpHZh8+nrNym/PYOTJM0RHOH0wOAADgr5zbewf8z4svvqj9+/drxYoVBX6z78y3/nfccYc6dOigYcOG6c4771RgYKArWwWcUpxgK0k9evTQm2++qcGDBys5ObnIr89hsRia0dOqdg2qaWHSfh04mq7wkGD1blFL0RFhsuS3Txlwk6W2wm/s18Ma5tRYZ8e5a6w/1zx/bHpmwasdwQGGy+f3xvfJV34mb6lp9vzeUrM48wdZBxRaM8M2s0g1zX6fnMGKLZy2e/duTZ06VcOGDVODBg2cek1hWwdeeeUV/frrr3rjjTdc0SJQZMUNtoZhKCYmRj/99JNmzpxZoh4sFkNdrDUV2/8GbRjRVrH9b1AXa01CLQAAgJMItnCKw+HQgAEDFBYWptGjRxc6vrCtyDmuvfZa9e/fXxMmTNBff/3lkl6BoihusJWkyMhI9e/fX88//7wOHz7s6tYAAADgJIItnLJkyRJ98cUXev3111W+fPlCxzsbbCVpwoQJcjgcGj9+fIn7BIqqJMFWkiZOnCjDMJz6wgcAAADuQbBFof755x8NGTJEXbt2VadOnZx6TVGC7WWXXaYxY8borbfe0o8//liiXoGiKmmwrVq1qiZMmKDZs2dzfBUAAIBJCLYo1HPPPafjx48rJibG6dcUJdhK0sCBA1WrVi0988wzxeoRKK6SBltJevzxx9WoUSMNHDjQ6d/zAAAAcB2CLQq0Y8cOvf7663r++edVq1Ytp19X1LMQy5Urp5deekmffvppiY9PAYrCFcG2bNmyiomJ0YYNG7R48WJXtQYAAAAnEWyRL7vdrscff1wNGzbU4MGDi1WjKKtX3bt3180336yhQ4cqKyurWPMBReWKYCtJ7dq1U7du3TRs2DCdOnXKFa0BAADASQRb5Gv27NnasmWL3nrrrWIdhSIVLdgahqFp06bpu+++05w5c4o0H1Bcrgq2UvbxVX/99ZdeeOGFEtcCAACA8wwHF4QhD4cOHVKDBg3UpUsXzZ07t8ivP3v2rMqVK6d58+bpgQceKNJr77//fq1evVq//PKLKlWqVOS5gaJYsmSJevXqpWPHjqly5colrjdq1Gi9uXKLbn14tP5Ktys8pLx6t6il6IgwzqWFxyvqZSQAALibs3GVFVvkafjw4ZKkl156qVivL86KbY4pU6bo5MmTmjJlSrHmBpxhtzu03HZQb/4UqJqPv6eHF+3UcttB2e3F/67PbnfoaMMuqnLnECWnntTBYxnauu+IBsXaNHiJrUS1AQAAkL+yZjcAz/P111/r/fff16xZs3TZZZcVq0ZJvvUPDw/X8OHDNXXqVD366KO68sori10LyIvd7tDg2B2KT0mTobIqW7mavt1/XNt+sylx1yHN6Gkt1upqQkqqVv1wOPtfjOzvDXOybHxyqto1qKYu1pqu+jEAt1hqSy10TA9rmFNjnR3nrrH+XPP8semZBX+pFhxguHx+b3yffOVn8paaZs/vLTXdPX+QdUCB4zJsMz2iT2ewYosLZGZm6vHHH1erVq308MMPl7hecXe6Dxs2TFWrVtWIESNK3APwbwkpqYpPSZMkOZT9ge78AJqQUvhftHlZmLRf+eVhi5H9PAAAAFyPFVs/Z7c7lJCSqoVJ+3Xg6Gk5Tv6t/UY1ffXmNFksxf/eoyRbkSWpQoUKmjp1qh544AFt2LBBrVu3LnYvwL/lBNC8dgbnBNDirKweOHo6z5pS9lwHjqYXuSYAAAAKR7D1Y+dvx8z5kO+wB+nS6Gc07yfJGuko9s1uShpsJem+++5TzGuv6/EX5qhhJ4sOHDvNjXjgEu4KoOEh5ZV2PCPfwBweElysugAAACgYW5H92PnbMXM+iBuWMpJKth1Tck2wlQzVv3+S/rm2u5L2/c2NeOAy4SHlC9wyXNwA2rtFrQIDc+8WtYpVFwAAAAUj2Poxd14P6IojIxJSUrU5LUuSa6+DBNwVQKMjwtQ5MvsmBzl/tnIeO0eGKTrC+RsgAAAAwHkEWz9WGtcDlmTFlhvxwF3cFUAtFkMzeloV08uq5nVCVbNKsJrXCVVML2ux77QMAACAwnGNrR8rjesBSxJsuREP3CUngLZrUO1/N05LV3hIsEuu37ZYDHWx1uRYHwAAgFJEsPVjvVvU0pa9R/J8zhXXAxqGUaJgy4144E4EUAAAAN9hOEp2dx94MbvdocFLbIpPTs29K3LOY+fIsBJvnSxTpoxmzpypxx57rFivX247qEGxtnyfj+llJZQAgAu54v4IAAC4krNxlRVbP+bO7ZhSyT8gRUeEKXHXoXyDNzfiAQAAACARbP2eu7djlmRDgLuDNwDgYktthd9xvoc1zKmxzo5z11h/rlmc+dMzC/9vdnCAUaSavvg+UdM1Nc2e31tqmj1/zrgg64BCa2bYZrqtT2cQbOFydrtDCSmpuuzeyXrrYJjWzdpU7DDKdZAAAAAACkOwhUvZ7Q4Njt2h+JQ0BdZsqH/OldHWfUe0Ze8RJe46xJEnAAAAAFyOc2zhUgkpqYpPSZMkGZYykpR7V+P45FQlpBS+5QAAAAAAioJgC5damLRf+S3IWozs5wEAAADAlQi2cKkDR0/nee6slL1ye+Boeuk2BAAAAMDnEWzhUuEh5QtcsQ0PCS7dhgAAAAD4PIItXKp3i1oFrtj2blGrdBsCAAAA4PMMR0kOGgX+xW53aPASm+KTU2UxssNszmPnyDDuigwAHsww+PsZAOBZnI2rBFu4XM45tguT9uvA0XSFhwQX+xxbAEDpIdgCADwNwRYAABSJYRhaaiv8WLYe1jBJKnSss+PcNdafaxZn/vTMwj8SBgcYRarpi+8TNV1T0+z5vaWm2fMXp2aQdUCB4zJsM4tU09m4yjW2AAAAAACvRrAFAAAAAHg1gi0AAAAAwKsRbAEAAAAAXo1gCwAAAADwagRbAAAAAIBXI9gCAAAAALwawRYAAAAA4NUMh7Mn3gIAAJ9mGIbZLQAAcAFn4yortgAAAAAAr1bW7AYAAIDnWGpLLXRMD2uYU2OdHeeusf5cszjzp2cWvioSHGAUqaYvvk/UdE1Ns+f3lppmz+/OmkHWAYXWzLDNLHRMDlZsAQAAAABejWALAAAAAPBqBFsAAAAAgFcj2AIAAAAAvBrBFgAAAADg1Qi2AAAAAACvRrAFAAAAAHg1w+FwFH5oGQAA8HmGYZjdAgAAF3A2rpZ1cx8AAMBL8F03AMBbsRUZAAAAAODVCLYAAAAAAK9GsAUAAAAAeDWCLQAAAADAqxFsAQAAAABejWALAAAAAPBqBFsAAAAAgFcj2AIAAAAAvBrBFgAAAADg1Qi2AAAAAACvRrAFAAAAAHg1gi0AAAAAwKsRbAEAAAAAXo1gCwAAAADwagRbAAAAAIBXI9gCAAAAALwawRYAAAAA4NUItgAAAAAAr0awBQAAAAB4NYItAAAAAMCrEWwBAAAAAF6NYAsAAAAA8GoEWwAAAACAV/s/TeZQdFl1L8oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "balanced_tree = nx.balanced_tree(3,3) \n",
    "pos = nx.spring_layout(balanced_tree)\n",
    "visualize(balanced_tree, pos, '平衡树')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d073aa39-5d6f-4fe0-ba88-e704a70eafce",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f5b71365-c5a7-43bb-a26e-126c26b2c431",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
